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30476580096 = 283831792671
BaseRepresentation
bin11100011000100010…
…111011010100000000
32220122222001200100210
4130120202323110000
5444404001030341
622000054514120
72126144441124
oct343042732400
986588050323
1030476580096
1111a1a264786
125aa6665940
132b4903a261
141691865584
15bd58b7c16
hex7188bb500

30476580096 has 144 divisors (see below), whose sum is σ = 82578908160. Its totient is φ = 9976657920.

The previous prime is 30476580091. The next prime is 30476580103. The reversal of 30476580096 is 69008567403.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30476580091) 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, 11408841 + ... + 11411511.

It is an arithmetic number, because the mean of its divisors is an integer number (573464640).

Almost surely, 230476580096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30476580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41289454080).

30476580096 is an abundant number, since it is smaller than the sum of its proper divisors (52102328064).

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

30476580096 is a wasteful number, since it uses less digits than its factorization.

30476580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 30476580096 in words is "thirty billion, four hundred seventy-six million, five hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 179 192 249 256 332 358 384 498 537 664 716 768 996 1074 1328 1432 1992 2148 2656 2671 2864 3984 4296 5312 5342 5728 7968 8013 8592 10624 10684 11456 14857 15936 16026 17184 21248 21368 22912 29714 31872 32052 34368 42736 44571 45824 59428 63744 64104 68736 85472 89142 118856 128208 137472 170944 178284 221693 237712 256416 341888 356568 443386 475424 478109 512832 665079 683776 713136 886772 950848 956218 1025664 1330158 1426272 1434327 1773544 1901696 1912436 2051328 2660316 2852544 2868654 3547088 3803392 3824872 5320632 5705088 5737308 7094176 7649744 10641264 11410176 11474616 14188352 15299488 21282528 22949232 28376704 30598976 39683047 42565056 45898464 56753408 61197952 79366094 85130112 91796928 119049141 122395904 158732188 170260224 183593856 238098282 317464376 367187712 476196564 634928752 952393128 1269857504 1904786256 2539715008 3809572512 5079430016 7619145024 10158860032 15238290048 30476580096