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30256224655896 = 233210725931514593
BaseRepresentation
bin1101110000100100100111…
…00001011101101000011000
310222010110121022120220020100
412320102103201131220120
512431204222002442041
6144203303454455400
76241640311131621
oct670222341355030
9128113538526210
1030256224655896
119705658049418
123487a38504560
1313b61c3ca4885
147685a276aa48
153770793056b6
hex1b849385da18

30256224655896 has 96 divisors (see below), whose sum is σ = 82741724966160. Its totient is φ = 9987292348416.

The previous prime is 30256224655883. The next prime is 30256224655901. The reversal of 30256224655896 is 69855642265203.

It is a happy number.

30256224655896 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 6 + 2 + 2 + 46 + 5 + 589 + 6 = 666.

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, 19219176 + ... + 20733768.

Almost surely, 230256224655896 is an apocalyptic number.

30256224655896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30256224655896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370862483080).

30256224655896 is an abundant number, since it is smaller than the sum of its proper divisors (52485500310264).

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

30256224655896 is a wasteful number, since it uses less digits than its factorization.

30256224655896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517305 (or 1517298 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 30256224655896 in words is "thirty trillion, two hundred fifty-six billion, two hundred twenty-four million, six hundred fifty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 2593 3852 5186 7704 7779 10372 15558 20744 23337 31116 46674 62232 93348 186696 277451 554902 832353 1109804 1514593 1664706 2219608 2497059 3029186 3329412 4543779 4994118 6058372 6658824 9087558 9988236 12116744 13631337 18175116 19976472 27262674 36350232 54525348 109050696 162061451 324122902 486184353 648245804 972368706 1296491608 1458553059 1944737412 2917106118 3889474824 3927339649 5834212236 7854679298 11668424472 11782018947 15709358596 23564037894 31418717192 35346056841 47128075788 70692113682 94256151576 141384227364 282768454728 420225342443 840450684886 1260676027329 1680901369772 2521352054658 3361802739544 3782028081987 5042704109316 7564056163974 10085408218632 15128112327948 30256224655896