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30256240626654 = 23723389519715493
BaseRepresentation
bin1101110000100100101000…
…11110011000101111011110
310222010110122102122021222220
412320102110132120233132
512431204240100023104
6144203305225050210
76241640563646610
oct670222436305736
9128113572567886
1030256240626654
119705666067499
123487a41926966
1313b61c73a7023
147685a4926db0
1537707a90c7d9
hex1b8494798bde

30256240626654 has 128 divisors (see below), whose sum is σ = 72368056350720. Its totient is φ = 8245410522624.

The previous prime is 30256240626611. The next prime is 30256240626683. The reversal of 30256240626654 is 45662604265203.

It is a junction number, because it is equal to n+sod(n) for n = 30256240626597 and 30256240626606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952889732 + ... + 1952905224.

It is an arithmetic number, because the mean of its divisors is an integer number (565375440240).

Almost surely, 230256240626654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30256240626654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36184028175360).

30256240626654 is an abundant number, since it is smaller than the sum of its proper divisors (42111815724066).

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

30256240626654 is a wasteful number, since it uses less digits than its factorization.

30256240626654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21114.

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 30256240626654 in words is "thirty trillion, two hundred fifty-six billion, two hundred forty million, six hundred twenty-six thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 389 483 778 966 1167 2334 2723 5197 5446 8169 8947 10394 15493 15591 16338 17894 26841 30986 31182 36379 46479 53682 62629 72758 92958 108451 109137 119531 125258 187887 216902 218274 239062 325353 356339 358593 375774 650706 712678 717186 836717 1069017 1673434 2021633 2138034 2494373 2510151 4043266 4988746 5020302 6026777 6064899 7483119 12053554 12129798 14151431 14966238 18080331 28302862 36160662 42187439 42454293 46497559 80517121 84374878 84908586 92995118 126562317 138615871 139492677 161034242 241551363 253124634 277231742 278985354 325482913 415847613 483102726 563619847 650965826 831695226 970311097 976448739 1127239694 1690859541 1851893783 1940622194 1952897478 2910933291 3381719082 3703787566 5555681349 5821866582 11111362698 12963256481 25926512962 31321160069 38889769443 62642320138 77779538886 93963480207 187926960414 219248120483 438496240966 657744361449 720386681587 1315488722898 1440773363174 2161160044761 4322320089522 5042706771109 10085413542218 15128120313327 30256240626654