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116032025560 = 235112103232753
BaseRepresentation
bin110110000010000001…
…1000011001111011000
3102002111110201121212011
41230010003003033120
53400113144304220
6125145424555304
711245244641543
oct1540403031730
9362443647764
10116032025560
1145233065200
121a5a2a82b34
13ac320c98b9
14588a36b85a
15304195965a
hex1b040c33d8

116032025560 has 96 divisors (see below), whose sum is σ = 289750799520. Its totient is φ = 41783639040.

The previous prime is 116032025507. The next prime is 116032025563. The reversal of 116032025560 is 65520230611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116032025563) 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, 382144 + ... + 614896.

It is an arithmetic number, because the mean of its divisors is an integer number (3018237495).

Almost surely, 2116032025560 is an apocalyptic number.

116032025560 is a gapful number since it is divisible by the number (10) 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 116032025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144875399760).

116032025560 is an abundant number, since it is smaller than the sum of its proper divisors (173718773960).

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

116032025560 is a wasteful number, since it uses less digits than its factorization.

116032025560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232889 (or 232874 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 116032025560 in words is "one hundred sixteen billion, thirty-two million, twenty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 121 206 220 242 412 440 484 515 605 824 968 1030 1133 1210 2060 2266 2420 4120 4532 4840 5665 9064 11330 12463 22660 24926 45320 49852 62315 99704 124630 232753 249260 465506 498520 931012 1163765 1862024 2327530 2560283 4655060 5120566 9310120 10241132 12801415 20482264 23973559 25602830 28163113 47947118 51205660 56326226 95894236 102411320 112652452 119867795 140815565 191788472 225304904 239735590 263709149 281631130 479471180 527418298 563262260 958942360 1054836596 1126524520 1318545745 2109673192 2637091490 2900800639 5274182980 5801601278 10548365960 11603202556 14504003195 23206405112 29008006390 58016012780 116032025560