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116032623984 = 24331223219619
BaseRepresentation
bin110110000010000010…
…1010101010101110000
3102002111111212000202000
41230010011111111300
53400113322431414
6125145445454000
711245253013324
oct1540405252560
9362444760660
10116032623984
1145233433872
121a5a3111300
13ac322790b4
14588a485984
153041a26b09
hex1b04155570

116032623984 has 80 divisors (see below), whose sum is σ = 333330451200. Its totient is φ = 38645740224.

The previous prime is 116032623979. The next prime is 116032623989. The reversal of 116032623984 is 489326230611.

116032623984 is a `hidden beast` number, since 1 + 1 + 603 + 2 + 6 + 2 + 39 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116032623979) and next prime (116032623989).

It is a super-2 number, since 2×1160326239842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116032623989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418527 + ... + 638145.

It is an arithmetic number, because the mean of its divisors is an integer number (4166630640).

Almost surely, 2116032623984 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 116032623984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166665225600).

116032623984 is an abundant number, since it is smaller than the sum of its proper divisors (217297827216).

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

116032623984 is a wasteful number, since it uses less digits than its factorization.

116032623984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220859 (or 220847 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 116032623984 in words is "one hundred sixteen billion, thirty-two million, six hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1223 2446 3669 4892 7338 9784 11007 14676 19568 22014 29352 33021 44028 58704 66042 88056 132084 176112 219619 264168 439238 528336 658857 878476 1317714 1756952 1976571 2635428 3513904 3953142 5270856 5929713 7906284 10541712 11859426 15812568 23718852 31625136 47437704 94875408 268594037 537188074 805782111 1074376148 1611564222 2148752296 2417346333 3223128444 4297504592 4834692666 6446256888 7252038999 9669385332 12892513776 14504077998 19338770664 29008155996 38677541328 58016311992 116032623984