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213256654272 = 26323111943137
BaseRepresentation
bin1100011010011100010…
…1100100110111000000
3202101110020000111102200
43012213011210313000
511443222200414042
6241545130113200
721256461436554
oct3064705446700
9671406014380
10213256654272
1182494904822
12353b727b800
13171579232bc
14a470979864
1558321c1c4c
hex31a7164dc0

213256654272 has 84 divisors (see below), whose sum is σ = 630979866816. Its totient is φ = 68792463360.

The previous prime is 213256654181. The next prime is 213256654291. The reversal of 213256654272 is 272456652312.

213256654272 is a `hidden beast` number, since 2 + 1 + 32 + 5 + 6 + 6 + 542 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5953713 + ... + 5989424.

Almost surely, 2213256654272 is an apocalyptic number.

It is an amenable number.

213256654272 is an abundant number, since it is smaller than the sum of its proper divisors (417723212544).

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

213256654272 is a wasteful number, since it uses less digits than its factorization.

213256654272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943186 (or 11943173 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 213256654272 in words is "two hundred thirteen billion, two hundred fifty-six million, six hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 11943137 23886274 35829411 47772548 71658822 95545096 107488233 143317644 191090192 214976466 286635288 370237247 382180384 429952932 573270576 740474494 764360768 859905864 1110711741 1146541152 1480948988 1719811728 2221423482 2293082304 2961897976 3332135223 3439623456 4442846964 5923795952 6664270446 6879246912 8885693928 11847591904 13328540892 17771387856 23695183808 26657081784 35542775712 53314163568 71085551424 106628327136 213256654272