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26150770944 = 283411232
BaseRepresentation
bin11000010110101101…
…010001100100000000
32111111111021210210000
4120112231101210000
5412024044132234
620002525440000
71614016612464
oct302655214400
974444253700
1026150770944
11100aa4792a1
125099a10000
132609a8247c
1413a11404a4
15a30c36899
hex616b51900

26150770944 has 135 divisors (see below), whose sum is σ = 78046365243. Its totient is φ = 8709161472.

The previous prime is 26150770939. The next prime is 26150770949. The reversal of 26150770944 is 44907705162.

The square root of 26150770944 is 161712.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (26150770939) and next prime (26150770949).

It is a super-2 number, since 2×261507709442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26150770944.

It is not an unprimeable number, because it can be changed into a prime (26150770949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23285967 + ... + 23287089.

Almost surely, 226150770944 is an apocalyptic number.

26150770944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26150770944 is the 161712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26150770944

26150770944 is an abundant number, since it is smaller than the sum of its proper divisors (51895594299).

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

26150770944 is an frugal number, since it uses more digits than its factorization.

26150770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 26150770944 in words is "twenty-six billion, one hundred fifty million, seven hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1123 1152 1296 1728 2246 2304 2592 3369 3456 4492 5184 6738 6912 8984 10107 10368 13476 17968 20214 20736 26952 30321 35936 40428 53904 60642 71872 80856 90963 107808 121284 143744 161712 181926 215616 242568 287488 323424 363852 431232 485136 646848 727704 862464 970272 1261129 1293696 1455408 1940544 2522258 2587392 2910816 3783387 3881088 5044516 5821632 7566774 7762176 10089032 11350161 11643264 15133548 20178064 22700322 23286528 30267096 34050483 40356128 45400644 60534192 68100966 80712256 90801288 102151449 121068384 136201932 161424512 181602576 204302898 242136768 272403864 322849024 363205152 408605796 484273536 544807728 726410304 817211592 968547072 1089615456 1452820608 1634423184 2179230912 2905641216 3268846368 4358461824 6537692736 8716923648 13075385472 26150770944