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26361764952 = 23317472515477
BaseRepresentation
bin11000100011010010…
…001001110001011000
32112001012022102010220
4120203102021301120
5412442102434302
620035504040040
71622161206405
oct304322116130
975035272126
1026361764952
11101a8590206
125138603020
1326416b88b3
1413c11852ac
15a445134bc
hex623489c58

26361764952 has 128 divisors (see below), whose sum is σ = 71562839040. Its totient is φ = 8060672000.

The previous prime is 26361764927. The next prime is 26361764983. The reversal of 26361764952 is 25946716362.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 26361764895 and 26361764904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4810438 + ... + 4815914.

It is an arithmetic number, because the mean of its divisors is an integer number (559084680).

Almost surely, 226361764952 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 26361764952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35781419520).

26361764952 is an abundant number, since it is smaller than the sum of its proper divisors (45201074088).

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

26361764952 is a wasteful number, since it uses less digits than its factorization.

26361764952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5797 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 26361764952 in words is "twenty-six billion, three hundred sixty-one million, seven hundred sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 251 282 376 408 502 564 753 799 1004 1128 1506 1598 2008 2397 3012 3196 4267 4794 5477 6024 6392 8534 9588 10954 11797 12801 16431 17068 19176 21908 23594 25602 32862 34136 35391 43816 47188 51204 65724 70782 93109 94376 102408 131448 141564 186218 200549 257419 279327 283128 372436 401098 514838 558654 601647 744872 772257 802196 1029676 1117308 1203294 1374727 1544514 1604392 2059352 2234616 2406588 2749454 3089028 4124181 4376123 4813176 5498908 6178056 8248362 8752246 10997816 13128369 16496724 17504492 23370359 26256738 32993448 35008984 46740718 52513476 64612169 70111077 93481436 105026952 129224338 140222154 186962872 193836507 258448676 280444308 387673014 516897352 560888616 775346028 1098406873 1550692056 2196813746 3295220619 4393627492 6590441238 8787254984 13180882476 26361764952