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11657293872 = 2437231508449
BaseRepresentation
bin10101101101101010…
…00011000000110000
31010002102020212220220
422312311003000300
5142333231400442
65204424133040
7561610235340
oct126665030060
933072225826
1011657293872
114a42269474
122314007180
13113a163533
147c82ccd20
15483627eec
hex2b6d43030

11657293872 has 80 divisors (see below), whose sum is σ = 35913177600. Its totient is φ = 3185842176.

The previous prime is 11657293867. The next prime is 11657293891. The reversal of 11657293872 is 27839275611.

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, 746497 + ... + 761952.

It is an arithmetic number, because the mean of its divisors is an integer number (448914720).

Almost surely, 211657293872 is an apocalyptic number.

11657293872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11657293872 is an abundant number, since it is smaller than the sum of its proper divisors (24255883728).

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

11657293872 is a wasteful number, since it uses less digits than its factorization.

11657293872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508490 (or 1508484 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 11657293872 in words is "eleven billion, six hundred fifty-seven million, two hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 1508449 3016898 4525347 6033796 9050694 10559143 12067592 18101388 21118286 24135184 31677429 34694327 36202776 42236572 63354858 69388654 72405552 84473144 104082981 126709716 138777308 168946288 208165962 242860289 253419432 277554616 416331924 485720578 506838864 555109232 728580867 832663848 971441156 1457161734 1665327696 1942882312 2914323468 3885764624 5828646936 11657293872