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2257117712520 = 2335111989996719
BaseRepresentation
bin100000110110000110101…
…100110001000010001000
321222210000102011222002120
4200312012230301002020
5243440034113300040
64444523333531240
7322033324000206
oct40660654610210
97883012158076
102257117712520
117a0269118880
123055401a3b20
13134acb131b78
147b360700076
153daa5b137d0
hex20d86b31088

2257117712520 has 128 divisors (see below), whose sum is σ = 7775716608000. Its totient is φ = 518381095680.

The previous prime is 2257117712519. The next prime is 2257117712543. The reversal of 2257117712520 is 252177117522.

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, 44973280 + ... + 45023439.

It is an arithmetic number, because the mean of its divisors is an integer number (60747786000).

Almost surely, 22257117712520 is an apocalyptic number.

2257117712520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257117712520 is an abundant number, since it is smaller than the sum of its proper divisors (5518598895480).

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

2257117712520 is a wasteful number, since it uses less digits than its factorization.

2257117712520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89996763 (or 89996759 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 2257117712520 in words is "two trillion, two hundred fifty-seven billion, one hundred seventeen million, seven hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 89996719 179993438 269990157 359986876 449983595 539980314 719973752 899967190 989963909 1079960628 1349950785 1709937661 1799934380 1979927818 2159921256 2699901570 2969891727 3419875322 3599868760 3959855636 4949819545 5129812983 5399803140 5939783454 6839750644 7919711272 8549688305 9899639090 10259625966 10799606280 11879566908 13679501288 14849458635 17099376610 18809314271 19799278180 20519251932 23759133816 25649064915 29698917270 34198753220 37618628542 39598556360 41038503864 51298129830 56427942813 59397834540 68397506440 75237257084 94046571355 102596259660 112855885626 118795669080 150474514168 188093142710 205192519320 225711771252 282139714065 376186285420 451423542504 564279428130 752372570840 1128558856260 2257117712520