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111680439624 = 233213235187683
BaseRepresentation
bin110100000000010101…
…1000100010101001000
3101200021012110011011200
41220000223010111020
53312210143031444
6123145535224200
711032355034225
oct1500053042510
9350235404150
10111680439624
11433aa773296
1219789678060
13a6ba6b8190
14559645694c
152d898d5969
hex1a00ac4548

111680439624 has 96 divisors (see below), whose sum is σ = 339897055680. Its totient is φ = 32869153152.

The previous prime is 111680439623. The next prime is 111680439653. The reversal of 111680439624 is 426934086111.

111680439624 is a `hidden beast` number, since 1 + 1 + 16 + 8 + 0 + 4 + 3 + 9 + 624 = 666.

It is a super-2 number, since 2×1116804396242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111680439624.

It is not an unprimeable number, because it can be changed into a prime (111680439623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572314 + ... + 2615369.

It is an arithmetic number, because the mean of its divisors is an integer number (3540594330).

Almost surely, 2111680439624 is an apocalyptic number.

It is an amenable number.

111680439624 is an abundant number, since it is smaller than the sum of its proper divisors (228216616056).

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

111680439624 is a wasteful number, since it uses less digits than its factorization.

111680439624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187731 (or 5187724 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 111680439624 in words is "one hundred eleven billion, six hundred eighty million, four hundred thirty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 7176 10764 21528 5187683 10375366 15563049 20750732 31126098 41501464 46689147 62252196 67439879 93378294 119316709 124504392 134879758 186756588 202319637 238633418 269759516 357950127 373513176 404639274 477266836 539519032 606958911 715900254 809278548 954533672 1073850381 1213917822 1431800508 1551117217 1618557096 2147700762 2427835644 2863601016 3102234434 4295401524 4653351651 4855671288 6204468868 8590803048 9306703302 12408937736 13960054953 18613406604 27920109906 37226813208 55840219812 111680439624