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120232430535552 = 2731723477847447
BaseRepresentation
bin11011010101100111001011…
…010100000000001110000000
3120202201002220210211121210020
4123111213023110000032000
5111224342004204114202
61103414003245533440
734216335466142406
oct3325471324001600
9522632823747706
10120232430535552
1135345318647805
1211599a25874280
135211b3c52b54a
1421993d02c7476
15dd77c4cac5bc
hex6d59cb500380

120232430535552 has 128 divisors (see below), whose sum is σ = 338297833117440. Its totient is φ = 37703901831168.

The previous prime is 120232430535551. The next prime is 120232430535563. The reversal of 120232430535552 is 255535034232021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120232430535551) 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 15 ways as a sum of consecutive naturals, for example, 11397493 + ... + 19244939.

It is an arithmetic number, because the mean of its divisors is an integer number (2642951821230).

Almost surely, 2120232430535552 is an apocalyptic number.

120232430535552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120232430535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169148916558720).

120232430535552 is an abundant number, since it is smaller than the sum of its proper divisors (218065402581888).

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

120232430535552 is a wasteful number, since it uses less digits than its factorization.

120232430535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849828 (or 7849816 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

Adding to 120232430535552 its reverse (255535034232021), we get a palindrome (375767464767573).

The spelling of 120232430535552 in words is "one hundred twenty trillion, two hundred thirty-two billion, four hundred thirty million, five hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 2347 3264 4694 6528 7041 9388 14082 18776 28164 37552 39899 56328 75104 79798 112656 119697 150208 159596 225312 239394 300416 319192 450624 478788 638384 901248 957576 1276768 1915152 2553536 3830304 5107072 7660608 7847447 15321216 15694894 23542341 31389788 47084682 62779576 94169364 125559152 133406599 188338728 251118304 266813198 376677456 400219797 502236608 533626396 753354912 800439594 1004473216 1067252792 1506709824 1600879188 2134505584 3013419648 3201758376 4269011168 6403516752 8538022336 12807033504 17076044672 18417958109 25614067008 36835916218 51228134016 55253874327 73671832436 110507748654 147343664872 221015497308 294687329744 313105287853 442030994616 589374659488 626210575706 884061989232 939315863559 1178749318976 1252421151412 1768123978464 1878631727118 2357498637952 2504842302824 3536247956928 3757263454236 5009684605648 7072495913856 7514526908472 10019369211296 15029053816944 20038738422592 30058107633888 40077476845184 60116215267776 120232430535552