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90076605690108 = 223173131410709229
BaseRepresentation
bin10100011110110010011000…
…000101011011000011111100
3102210221020110112012112122010
4110132302120011123003330
543301303342024040413
6515324342115251220
724654551155221222
oct2436623005330374
9383836415175563
1090076605690108
112677930168aa54
12a129548ba9b10
133b35258b3c64b
141835a33b32b12
15a63174d68dc3
hex51ec9815b0fc

90076605690108 has 48 divisors (see below), whose sum is σ = 223253199902880. Its totient is φ = 28169041864704.

The previous prime is 90076605690103. The next prime is 90076605690139. The reversal of 90076605690108 is 80109650667009.

It is a happy number.

It is a super-2 number, since 2×900766056901082 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90076605690103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705290763 + ... + 705418466.

It is an arithmetic number, because the mean of its divisors is an integer number (4651108331310).

Almost surely, 290076605690108 is an apocalyptic number.

It is an amenable number.

90076605690108 is an abundant number, since it is smaller than the sum of its proper divisors (133176594212772).

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

90076605690108 is a wasteful number, since it uses less digits than its factorization.

90076605690108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410709566 (or 1410709564 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 90076605690108 in words is "ninety trillion, seventy-six billion, six hundred five million, six hundred ninety thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 313 626 939 1252 1878 3756 5321 10642 15963 21284 31926 63852 1410709229 2821418458 4232127687 5642836916 8464255374 16928510748 23982056893 47964113786 71946170679 95928227572 143892341358 287784682716 441551988677 883103977354 1324655966031 1766207954708 2649311932062 5298623864124 7506383807509 15012767615018 22519151422527 30025535230036 45038302845054 90076605690108