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2190051688374 = 2321126863411751
BaseRepresentation
bin11111110111101001010…
…000001011111110110110
321202100220110121221110100
4133313221100023332312
5241340211213011444
64354032412134530
7314140344126054
oct37675120137666
97670813557410
102190051688374
117748830a1240
122b4543a67446
1312b6a07c2b04
1477ddb6251d4
153be7cda3e69
hex1fde940bfb6

2190051688374 has 48 divisors (see below), whose sum is σ = 5176691080704. Its totient is φ = 663625710000.

The previous prime is 2190051688343. The next prime is 2190051688379. The reversal of 2190051688374 is 4738861500912.

2190051688374 is a `hidden beast` number, since 2 + 1 + 90 + 0 + 516 + 8 + 8 + 37 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2190051688374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190051688379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5112999 + ... + 5524749.

It is an arithmetic number, because the mean of its divisors is an integer number (107847730848).

It is a 1-persistent number, because it is pandigital, but 2⋅2190051688374 = 4380103376748 is not.

Almost surely, 22190051688374 is an apocalyptic number.

2190051688374 is an abundant number, since it is smaller than the sum of its proper divisors (2986639392330).

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

2190051688374 is a wasteful number, since it uses less digits than its factorization.

2190051688374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438633 (or 438630 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2190051688374 in words is "two trillion, one hundred ninety billion, fifty-one million, six hundred eighty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 26863 53726 80589 161178 241767 295493 411751 483534 590986 823502 886479 1235253 1772958 2470506 2659437 3705759 4529261 5318874 7411518 9058522 13587783 27175566 40763349 81526698 11060867113 22121734226 33182601339 66365202678 99547804017 121669538243 199095608034 243339076486 365008614729 730017229458 1095025844187 2190051688374