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820431432356 = 223116771955103
BaseRepresentation
bin10111111000001011000…
…01100010101010100100
32220102200021111001011112
423330011201202222210
5101420220421313411
61424522340524152
7113163025053134
oct13740541425244
92812607431145
10820431432356
11296a41178288
121130089b0658
135c49bb4c813
142b9cda74ac4
151651bd7eb8b
hexbf05862aa4

820431432356 has 48 divisors (see below), whose sum is σ = 1493045084160. Its totient is φ = 394049830560.

The previous prime is 820431432329. The next prime is 820431432361. The reversal of 820431432356 is 653234134028.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14861501 + ... + 14916603.

It is an arithmetic number, because the mean of its divisors is an integer number (31105105920).

Almost surely, 2820431432356 is an apocalyptic number.

It is an amenable number.

820431432356 is a deficient number, since it is larger than the sum of its proper divisors (672613651804).

820431432356 is a wasteful number, since it uses less digits than its factorization.

820431432356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56024 (or 56022 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 820431432356 in words is "eight hundred twenty billion, four hundred thirty-one million, four hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 31 62 124 167 334 668 719 1438 2876 5177 10354 20708 22289 44578 55103 89156 110206 120073 220412 240146 480292 1708193 3416386 3722263 6832772 7444526 9202201 14889052 18404402 36808804 39619057 79238114 158476228 285268231 570536462 1141072924 1228190767 2456381534 4912763068 6616382519 13232765038 26465530076 205107858089 410215716178 820431432356