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557657466696 = 2333111912352859
BaseRepresentation
bin10000001110101101111…
…10011010011101001000
31222022102002220111102000
420013112332122131020
533114040302413241
61104103450511000
755201162154031
oct10072676323510
91868362814360
10557657466696
111a5557113620
12900b2435460
1340782490185
141cdc2935a88
15e78c8b1eb6
hex81d6f9a748

557657466696 has 128 divisors (see below), whose sum is σ = 1778811840000. Its totient is φ = 160093039680.

The previous prime is 557657466689. The next prime is 557657466713. The reversal of 557657466696 is 696664756755.

557657466696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6131286 + ... + 6221573.

It is an arithmetic number, because the mean of its divisors is an integer number (13896967500).

Almost surely, 2557657466696 is an apocalyptic number.

It is an amenable number.

557657466696 is an abundant number, since it is smaller than the sum of its proper divisors (1221154373304).

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

557657466696 is a wasteful number, since it uses less digits than its factorization.

557657466696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352904 (or 12352894 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 557657466696 in words is "five hundred fifty-seven billion, six hundred fifty-seven million, four hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 12352859 24705718 37058577 49411436 74117154 98822872 111175731 135881449 148234308 222351462 234704321 271762898 296468616 333527193 407644347 444702924 469408642 543525796 667054386 704112963 815288694 889405848 938817284 1087051592 1222933041 1334108772 1408225926 1630577388 1877634568 2112338889 2445866082 2581747531 2668217544 2816451852 3261154776 3668799123 4224677778 4891732164 5163495062 5632903704 6337016667 7337598246 7745242593 8449355556 9783464328 10326990124 12674033334 14675196492 15490485186 16898711112 20653980248 23235727779 25348066668 29350392984 30980970372 46471455558 50696133336 61961940744 69707183337 92942911116 139414366674 185885822232 278828733348 557657466696