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30899411424 = 2532781118899
BaseRepresentation
bin11100110001101111…
…111001100111100000
32221202102200201220100
4130301233321213200
51001240222131144
622110041342400
72142500443410
oct346157714740
987672621810
1030899411424
1112116a04162
125ba4197a00
132bb58138cb
1416d1a90640
15c0ca8b269
hex731bf99e0

30899411424 has 144 divisors (see below), whose sum is σ = 100552233600. Its totient is φ = 8817050880.

The previous prime is 30899411419. The next prime is 30899411437. The reversal of 30899411424 is 42411499803.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 30899411424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1625527 + ... + 1644425.

It is an arithmetic number, because the mean of its divisors is an integer number (698279400).

Almost surely, 230899411424 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 30899411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276116800).

30899411424 is an abundant number, since it is smaller than the sum of its proper divisors (69652822176).

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

30899411424 is a wasteful number, since it uses less digits than its factorization.

30899411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19733 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30899411424 in words is "thirty billion, eight hundred ninety-nine million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 811 1008 1622 2016 2433 3244 4866 5677 6488 7299 9732 11354 12976 14598 17031 18899 19464 22708 25952 29196 34062 37798 38928 45416 51093 56697 58392 68124 75596 77856 90832 102186 113394 116784 132293 136248 151192 170091 181664 204372 226788 233568 264586 272496 302384 340182 396879 408744 453576 529172 544992 604768 680364 793758 817488 907152 1058344 1190637 1360728 1587516 1634976 1814304 2116688 2381274 2721456 3175032 4233376 4762548 5442912 6350064 9525096 12700128 15327089 19050192 30654178 38100384 45981267 61308356 91962534 107289623 122616712 137943801 183925068 214579246 245233424 275887602 321868869 367850136 429158492 490466848 551775204 643737738 735700272 858316984 965606607 1103550408 1287475476 1471400544 1716633968 1931213214 2207100816 2574950952 3433267936 3862426428 4414201632 5149901904 7724852856 10299803808 15449705712 30899411424