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256506400515402 = 233113163812566171
BaseRepresentation
bin111010010100101010001100…
…111000101010010101001010
31020122012202212002020110101000
4322110222030320222111022
5232110100102012443102
62305313225202235430
7105012655503644322
oct7224521470522512
91218182762213330
10256506400515402
1174804831a8a234
12249287aa655b76
13b0185b021a51b
14474ad9430a282
151e9c4c066901c
hexe94a8ce2a54a

256506400515402 has 64 divisors (see below), whose sum is σ = 575093926350720. Its totient is φ = 84740271033600.

The previous prime is 256506400515377. The next prime is 256506400515433. The reversal of 256506400515402 is 204515004605652.

256506400515402 is a `hidden beast` number, since 2 + 5 + 6 + 50 + 6 + 4 + 0 + 0 + 51 + 540 + 2 = 666.

It is a super-2 number, since 2×2565064005154022 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98673777 + ... + 101239947.

It is an arithmetic number, because the mean of its divisors is an integer number (8985842599230).

Almost surely, 2256506400515402 is an apocalyptic number.

256506400515402 is an abundant number, since it is smaller than the sum of its proper divisors (318587525835318).

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

256506400515402 is a wasteful number, since it uses less digits than its factorization.

256506400515402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582676 (or 2582670 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 256506400515402 in words is "two hundred fifty-six trillion, five hundred six billion, four hundred million, five hundred fifteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 16381 32762 49143 98286 147429 294858 442287 884574 1851053 2566171 3702106 5132342 5553159 7698513 11106318 15397026 16659477 23095539 33318954 46191078 49978431 69286617 99956862 138573234 289977323 579954646 869931969 1739863938 2609795907 5219591814 7829387721 15658775442 42036447151 84072894302 126109341453 252218682906 378328024359 756656048718 1134984073077 2269968146154 4750118528063 9500237056126 14250355584189 28500711168378 42751066752567 85502133505134 128253200257701 256506400515402