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258015201620 = 225113137832141
BaseRepresentation
bin1111000001001011100…
…1111000100101010100
3220122222112010021201112
43300102321320211110
513211403342422440
6314310333114152
724432600012341
oct3602271704524
9818875107645
10258015201620
119a472944920
1242008928958
131b43b7c5347
14c6b91157c8
156aa1818965
hex3c12e78954

258015201620 has 48 divisors (see below), whose sum is σ = 610156786176. Its totient is φ = 90797136000.

The previous prime is 258015201551. The next prime is 258015201667. The reversal of 258015201620 is 26102510852.

It is a congruent 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, 18909251 + ... + 18922890.

It is an arithmetic number, because the mean of its divisors is an integer number (12711599712).

Almost surely, 2258015201620 is an apocalyptic number.

258015201620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258015201620 is an abundant number, since it is smaller than the sum of its proper divisors (352141584556).

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

258015201620 is a wasteful number, since it uses less digits than its factorization.

258015201620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37832192 (or 37832190 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 258015201620 in words is "two hundred fifty-eight billion, fifteen million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 37832141 75664282 151328564 189160705 378321410 416153551 756642820 832307102 1172796371 1664614204 2080767755 2345592742 4161535510 4691185484 5863981855 8323071020 11727963710 12900760081 23455927420 25801520162 51603040324 64503800405 129007600810 258015201620