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116461352560 = 24571034320107
BaseRepresentation
bin110110001110110100…
…0110011011001110000
3102010121101120200210011
41230131220303121300
53402003101240220
6125300202544304
711262010110010
oct1543550633160
9363541520704
10116461352560
1145433440a03
121a6a2808094
13aca0038a47
1458cb3a7c40
1530694b265a
hex1b1da33670

116461352560 has 80 divisors (see below), whose sum is σ = 309499762176. Its totient is φ = 39923760384.

The previous prime is 116461352537. The next prime is 116461352569. The reversal of 116461352560 is 65253164611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116461352569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782027 + ... + 5802133.

Almost surely, 2116461352560 is an apocalyptic number.

116461352560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116461352560 is an abundant number, since it is smaller than the sum of its proper divisors (193038409616).

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

116461352560 is a wasteful number, since it uses less digits than its factorization.

116461352560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30470 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 116461352560 in words is "one hundred sixteen billion, four hundred sixty-one million, three hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 10343 20107 20686 40214 41372 51715 72401 80428 82744 100535 103430 140749 144802 160856 165488 201070 206860 281498 289604 321712 362005 402140 413720 562996 579208 703745 724010 804280 827440 1125992 1158416 1407490 1448020 1608560 2251984 2814980 2896040 5629960 5792080 11259920 207966701 415933402 831866804 1039833505 1455766907 1663733608 2079667010 2911533814 3327467216 4159334020 5823067628 7278834535 8318668040 11646135256 14557669070 16637336080 23292270512 29115338140 58230676280 116461352560