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115002121254544 = 24173761234180021
BaseRepresentation
bin11010001001100000000100…
…100101011111011010010000
3120002012002120120011210201101
4122021200010211133122100
5110033143321020121134
61044331124542114144
733136425525611416
oct3211400445373220
9502162516153641
10115002121254544
1133709142392687
1210a9422187b954
134c22865985a14
1420581bd3072b6
15d46708298e14
hex68980495f690

115002121254544 has 160 divisors (see below), whose sum is σ = 246380185203552. Its totient is φ = 51769995264000.

The previous prime is 115002121254529. The next prime is 115002121254547. The reversal of 115002121254544 is 445452121200511.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 32669363666944 + 82332757587600 = 5715712^2 + 9073740^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (115002121254547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437109254 + ... + 1437189274.

Almost surely, 2115002121254544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115002121254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123190092601776).

115002121254544 is an abundant number, since it is smaller than the sum of its proper divisors (131378063949008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115002121254544 is a wasteful number, since it uses less digits than its factorization.

115002121254544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82485 (or 82479 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The spelling of 115002121254544 in words is "one hundred fifteen trillion, two billion, one hundred twenty-one million, two hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 37 61 68 74 122 136 148 244 272 296 488 592 629 976 1037 1258 2074 2257 2341 2516 4148 4514 4682 5032 8296 9028 9364 10064 16592 18056 18728 36112 37456 38369 39797 76738 79594 80021 86617 142801 153476 159188 160042 173234 285602 306952 318376 320084 346468 571204 613904 636752 640168 692936 1142408 1280336 1360357 1385872 1472489 2284816 2427617 2720714 2944978 2960777 4855234 4881281 5283637 5441428 5889956 5921554 9710468 9762562 10567274 10882856 11779912 11843108 19420936 19525124 21134548 21765712 23559824 23686216 38841872 39050248 42269096 47372432 50333209 78100496 82981777 84538192 89821829 100666418 165963554 179643658 180607397 187329161 201332836 331927108 359287316 361214794 374658322 402665672 663854216 718574632 722429588 749316644 805331344 1327708432 1437149264 1444859176 1498633288 2889718352 2997266576 3070325749 3184595737 6140651498 6369191474 6931178957 11427078821 12281302996 12738382948 13862357914 22854157642 24562605992 25476765896 27724715828 45708315284 49125211984 50953531792 55449431656 91416630568 110898863312 117830042269 182833261136 194260339957 235660084538 388520679914 422801916377 471320169076 777041359828 845603832754 942640338152 1554082719656 1691207665508 1885280676304 3108165439312 3382415331016 6764830662032 7187632578409 14375265156818 28750530313636 57501060627272 115002121254544