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116117757036 = 22352315733083
BaseRepresentation
bin110110000100100101…
…0000101110001101100
3102002201110001020100000
41230021022011301230
53400302121211121
6125202130304300
711250335435541
oct1541112056154
9362643036300
10116117757036
11452774a0566
121a607728090
13ac46ab5998
1458978c6bc8
153049241526
hex1b09285c6c

116117757036 has 144 divisors (see below), whose sum is σ = 319658137344. Its totient is φ = 36786125376.

The previous prime is 116117757029. The next prime is 116117757047. The reversal of 116117757036 is 630757711611.

116117757036 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 77 + 570 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116117756982 and 116117757000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3493351 + ... + 3526433.

It is an arithmetic number, because the mean of its divisors is an integer number (2219848176).

Almost surely, 2116117757036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116117757036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159829068672).

116117757036 is an abundant number, since it is smaller than the sum of its proper divisors (203540380308).

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

116117757036 is a wasteful number, since it uses less digits than its factorization.

116117757036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33282 (or 33268 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 116117757036 in words is "one hundred sixteen billion, one hundred seventeen million, seven hundred fifty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 157 162 207 243 276 314 324 414 471 486 621 628 828 942 972 1242 1413 1863 1884 2484 2826 3611 3726 4239 5589 5652 7222 7452 8478 10833 11178 12717 14444 16956 21666 22356 25434 32499 33083 38151 43332 50868 64998 66166 76302 97497 99249 129996 132332 152604 194994 198498 292491 297747 389988 396996 584982 595494 760909 877473 893241 1169964 1190988 1521818 1754946 1786482 2282727 2679723 3043636 3509892 3572964 4565454 5194031 5359446 6848181 8039169 9130908 10388062 10718892 13696362 15582093 16078338 20544543 20776124 27392724 31164186 32156676 41089086 46746279 61633629 62328372 82178172 93492558 119462713 123267258 140238837 184900887 186985116 238925426 246534516 280477674 358388139 369801774 420716511 477850852 560955348 716776278 739603548 841433022 1075164417 1262149533 1433552556 1682866044 2150328834 2524299066 3225493251 4300657668 5048598132 6450986502 9676479753 12901973004 19352959506 29029439259 38705919012 58058878518 116117757036