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202027572138942 = 232112551399976979
BaseRepresentation
bin101101111011111000110101…
…101011000001001110111110
3222111022122110212022200122200
4231323320311223001032332
5202440004431431421232
61553402104013052330
760361003400165364
oct5573706553011676
9874278425280580
10202027572138942
1159410459696220
121a7aa3691870a6
13889616cbc6164
1437c62882c9634
15185530296977c
hexb7be35ac13be

202027572138942 has 48 divisors (see below), whose sum is σ = 477706906385280. Its totient is φ = 61196477634000.

The previous prime is 202027572138941. The next prime is 202027572138943. The reversal of 202027572138942 is 249831275720202.

202027572138942 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 27 + 572 + 1 + 3 + 8 + 9 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (202027572138941) and next prime (202027572138943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202027572138941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199483392 + ... + 200493587.

It is an arithmetic number, because the mean of its divisors is an integer number (9952227216360).

Almost surely, 2202027572138942 is an apocalyptic number.

202027572138942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202027572138942 is an abundant number, since it is smaller than the sum of its proper divisors (275679334246338).

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

202027572138942 is a wasteful number, since it uses less digits than its factorization.

202027572138942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399979549 (or 399979546 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 202027572138942 in words is "two hundred two trillion, twenty-seven billion, five hundred seventy-two million, one hundred thirty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2551 5102 7653 15306 22959 28061 45918 56122 84183 168366 252549 505098 399976979 799953958 1199930937 2399861874 3599792811 4399746769 7199585622 8799493538 13199240307 26398480614 39597720921 79195441842 1020341273429 2040682546858 3061023820287 6122047640574 9183071460861 11223754007719 18366142921722 22447508015438 33671262023157 67342524046314 101013786069471 202027572138942