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60110056116 = 2232111961130969
BaseRepresentation
bin110111111110110101…
…101010101010110100
312202011011200020100200
4313332311222222310
51441101133243431
643340355040500
74225404022005
oct677665525264
9182134606320
1060110056116
1123546617930
12b7968a0130
13588c4b1c56
142ca33411ac
15186c241ee6
hexdfed6aab4

60110056116 has 144 divisors (see below), whose sum is σ = 177343857600. Its totient is φ = 16973452800.

The previous prime is 60110056081. The next prime is 60110056157. The reversal of 60110056116 is 61165001106.

60110056116 is a `hidden beast` number, since 601 + 1 + 0 + 0 + 56 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×601100561162 (a number of 22 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 60110056116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393480 + ... + 524448.

Almost surely, 260110056116 is an apocalyptic number.

60110056116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60110056116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88671928800).

60110056116 is an abundant number, since it is smaller than the sum of its proper divisors (117233801484).

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

60110056116 is a wasteful number, since it uses less digits than its factorization.

60110056116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131070 (or 131065 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 60110056116 in words is "sixty billion, one hundred ten million, fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 61 66 76 99 114 122 132 171 183 198 209 228 244 342 366 396 418 549 627 671 684 732 836 1098 1159 1254 1342 1881 2013 2196 2318 2508 2684 3477 3762 4026 4636 6039 6954 7524 8052 10431 12078 12749 13908 20862 24156 25498 38247 41724 50996 76494 114741 130969 152988 229482 261938 392907 458964 523876 785814 1178721 1440659 1571628 2357442 2488411 2881318 4321977 4714884 4976822 5762636 7465233 7989109 8643954 9953644 12965931 14930466 15978218 17287908 22395699 23967327 25931862 27372521 29860932 31956436 44791398 47934654 51863724 54745042 71901981 82117563 87880199 89582796 95869308 109490084 143803962 151793071 164235126 175760398 246352689 263640597 287607924 303586142 328470252 351520796 455379213 492705378 527281194 607172284 790921791 910758426 985410756 1054562388 1366137639 1581843582 1669723781 1821516852 2732275278 3163687164 3339447562 5009171343 5464550556 6678895124 10018342686 15027514029 20036685372 30055028058 60110056116