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36900741408 = 2538910939623
BaseRepresentation
bin100010010111011101…
…001010000100100000
310112020200020212222020
4202113131022010200
51101033042211113
624541342541440
72444302061316
oct422735120440
9115220225866
1036900741408
1114716563203
127199b97880
133630c56b3b
141b00b280b6
15e5e888023
hex89774a120

36900741408 has 96 divisors (see below), whose sum is σ = 98853955200. Its totient is φ = 12050159616.

The previous prime is 36900741401. The next prime is 36900741443. The reversal of 36900741408 is 80414700963.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 36900741408.

It is not an unprimeable number, because it can be changed into a prime (36900741401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911485 + ... + 951107.

It is an arithmetic number, because the mean of its divisors is an integer number (1029728700).

Almost surely, 236900741408 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 36900741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49426977600).

36900741408 is an abundant number, since it is smaller than the sum of its proper divisors (61953213792).

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

36900741408 is a wasteful number, since it uses less digits than its factorization.

36900741408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39834 (or 39826 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 36900741408 in words is "thirty-six billion, nine hundred million, seven hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 109 178 218 267 327 356 436 534 654 712 872 1068 1308 1424 1744 2136 2616 2848 3488 4272 5232 8544 9701 10464 19402 29103 38804 39623 58206 77608 79246 116412 118869 155216 158492 232824 237738 310432 316984 465648 475476 633968 931296 950952 1267936 1901904 3526447 3803808 4318907 7052894 8637814 10579341 12956721 14105788 17275628 21158682 25913442 28211576 34551256 42317364 51826884 56423152 69102512 84634728 103653768 112846304 138205024 169269456 207307536 338538912 384382723 414615072 768765446 1153148169 1537530892 2306296338 3075061784 4612592676 6150123568 9225185352 12300247136 18450370704 36900741408