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232534106541 = 32113175768689
BaseRepresentation
bin1101100010010000011…
…1001110000110101101
3211020012200221112112100
43120210013032012231
512302212212402131
6254454044525313
722541261202402
oct3304407160655
9736180845470
10232534106541
118a687493a60
1239097250839
1318c0a6c58a9
14b37ccd82a9
1560ae7b47e6
hex36241ce1ad

232534106541 has 24 divisors (see below), whose sum is σ = 378237300480. Its totient is φ = 136383638400.

The previous prime is 232534106461. The next prime is 232534106561. The reversal of 232534106541 is 145601435232.

232534106541 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 3 + 4 + 106 + 541 = 666.

It is not a de Polignac number, because 232534106541 - 217 = 232533975469 is a prime.

It is a super-2 number, since 2×2325341065412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232534106496 and 232534106505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232534106561) 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, 37881276 + ... + 37887413.

It is an arithmetic number, because the mean of its divisors is an integer number (15759887520).

Almost surely, 2232534106541 is an apocalyptic number.

It is an amenable number.

232534106541 is a deficient number, since it is larger than the sum of its proper divisors (145703193939).

232534106541 is a wasteful number, since it uses less digits than its factorization.

232534106541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75768737 (or 75768734 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 232534106541 in words is "two hundred thirty-two billion, five hundred thirty-four million, one hundred six thousand, five hundred forty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 75768689 227306067 681918201 833455579 2348829359 2500366737 7046488077 7501100211 21139464231 25837122949 77511368847 232534106541