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536613401504 = 2541853479489
BaseRepresentation
bin1111100111100001010…
…01101011001110100000
31220022002111210012222002
413303300221223032200
532242441012322004
61050303343303132
753524531440215
oct7636051531640
91808074705862
10536613401504
11197638303a04
1287bba8aaaa8
133b7aa6ba3ab
141bd87b11b0c
15de5a15d61e
hex7cf0a6b3a0

536613401504 has 48 divisors (see below), whose sum is σ = 1083495881160. Its totient is φ = 261455216640.

The previous prime is 536613401501. The next prime is 536613401521. The reversal of 536613401504 is 405104316635.

It can be written as a sum of positive squares in 4 ways, for example, as 370759210000 + 165854191504 = 608900^2 + 407252^2 .

It is not an unprimeable number, because it can be changed into a prime (536613401501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879392 + ... + 1358880.

Almost surely, 2536613401504 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 536613401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541747940580).

536613401504 is an abundant number, since it is smaller than the sum of its proper divisors (546882479656).

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

536613401504 is a wasteful number, since it uses less digits than its factorization.

536613401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480393 (or 480385 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 536613401504 in words is "five hundred thirty-six billion, six hundred thirteen million, four hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 853 1312 1706 3412 6824 13648 27296 34973 69946 139892 279784 479489 559568 958978 1119136 1917956 3835912 7671824 15343648 19659049 39318098 78636196 157272392 314544784 409004117 629089568 818008234 1636016468 3272032936 6544065872 13088131744 16769168797 33538337594 67076675188 134153350376 268306700752 536613401504