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20432865414 = 23132979114343
BaseRepresentation
bin10011000001111001…
…001100100010000110
31221202000001002222010
4103001321030202012
5313321303143124
613215311115050
71322226330123
oct230171144206
957660032863
1020432865414
118735902235
123b62b12a86
131c08285510
14dbb9a374a
157e8c72529
hex4c1e4c886

20432865414 has 64 divisors (see below), whose sum is σ = 46103500800. Its totient is φ = 5993350272.

The previous prime is 20432865407. The next prime is 20432865433. The reversal of 20432865414 is 41456823402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121527 + ... + 235869.

It is an arithmetic number, because the mean of its divisors is an integer number (720367200).

Almost surely, 220432865414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20432865414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051750400).

20432865414 is an abundant number, since it is smaller than the sum of its proper divisors (25670635386).

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

20432865414 is a wasteful number, since it uses less digits than its factorization.

20432865414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114469.

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 20432865414 in words is "twenty billion, four hundred thirty-two million, eight hundred sixty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 79 87 158 174 237 377 474 754 1027 1131 2054 2262 2291 3081 4582 6162 6873 13746 29783 59566 89349 114343 178698 228686 343029 686058 1486459 2972918 3315947 4459377 6631894 8918754 9033097 9947841 18066194 19895682 27099291 43107311 54198582 86214622 117430261 129321933 234860522 258643866 261959813 352290783 523919626 704581566 785879439 1571758878 3405477569 6810955138 10216432707 20432865414