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21908736256 = 28112294
BaseRepresentation
bin10100011001110111…
…001100100100000000
32002112212011010011011
4110121313030210000
5324332114030011
614021552130304
71403630120431
oct243167144400
962485133134
1021908736256
119322a01900
1242b5236994
1320b1c79a84
1410bb9c5488
15883602621
hex519dcc900

21908736256 has 135 divisors (see below), whose sum is σ = 49785683983. Its totient is φ = 9615119360.

The previous prime is 21908736253. The next prime is 21908736313. The reversal of 21908736256 is 65263780912.

The square root of 21908736256 is 148016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 52070656 + 21856665600 = 7216^2 + 147840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21908736253) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 755473650 + ... + 755473678.

Almost surely, 221908736256 is an apocalyptic number.

21908736256 is the 148016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21908736256

21908736256 is an abundant number, since it is smaller than the sum of its proper divisors (27876947727).

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

21908736256 is an frugal number, since it uses more digits than its factorization.

21908736256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 21908736256 by its sum of digits (49), we get a square (1073528076544 = 10361122).

The spelling of 21908736256 in words is "twenty-one billion, nine hundred eight million, seven hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 128 176 232 242 256 319 352 464 484 638 704 841 928 968 1276 1408 1682 1856 1936 2552 2816 3364 3509 3712 3872 5104 6728 7018 7424 7744 9251 10208 13456 14036 15488 18502 20416 24389 26912 28072 30976 37004 40832 48778 53824 56144 74008 81664 97556 101761 107648 112288 148016 195112 203522 215296 224576 268279 296032 390224 407044 449152 536558 592064 707281 780448 814088 898304 1073116 1184128 1414562 1560896 1628176 2146232 2368256 2829124 2951069 3121792 3256352 4292464 5658248 5902138 6243584 6512704 7780091 8584928 11316496 11804276 13025408 15560182 17169856 22632992 23608552 26050816 31120364 34339712 45265984 47217104 62240728 68679424 85581001 90531968 94434208 124481456 171162002 181063936 188868416 248962912 342324004 377736832 497925824 684648008 755473664 995851648 1369296016 1991703296 2738592032 5477184064 10954368128 21908736256