Search a number
-
+
34139787564 = 22343431153509
BaseRepresentation
bin11111110010111000…
…111101000100101100
310021010021000220022110
4133302320331010230
51024404241200224
623403354044020
72316005256231
oct376270750454
9107107026273
1034139787564
111352a024773
126749419610
1332b0c4b23c
14191c189788
15d4c2b2929
hex7f2e3d12c

34139787564 has 48 divisors (see below), whose sum is σ = 81701706240. Its totient is φ = 11089417920.

The previous prime is 34139787541. The next prime is 34139787569. The reversal of 34139787564 is 46578793143.

It is not an unprimeable number, because it can be changed into a prime (34139787569) 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, 145642 + ... + 299150.

It is an arithmetic number, because the mean of its divisors is an integer number (1702118880).

Almost surely, 234139787564 is an apocalyptic number.

It is an amenable number.

34139787564 is an abundant number, since it is smaller than the sum of its proper divisors (47561918676).

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

34139787564 is a wasteful number, since it uses less digits than its factorization.

34139787564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153990 (or 153988 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 34139787564 in words is "thirty-four billion, one hundred thirty-nine million, seven hundred eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 431 516 862 1293 1724 2586 5172 18533 37066 55599 74132 111198 153509 222396 307018 460527 614036 921054 1842108 6600887 13201774 19802661 26403548 39605322 66162379 79210644 132324758 198487137 264649516 396974274 793948548 2844982297 5689964594 8534946891 11379929188 17069893782 34139787564