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116425224432 = 243211631116483
BaseRepresentation
bin110110001101101111…
…0111111000011110000
3102010111212121012022100
41230123132333003300
53401414324140212
6125252432340400
711261061036126
oct1543336770360
9363455535270
10116425224432
1145415005350
121a6926a4700
13ac956c965a
1458c6681916
153066227bdc
hex1b1b7bf0f0

116425224432 has 120 divisors (see below), whose sum is σ = 356016106368. Its totient is φ = 35224156800.

The previous prime is 116425224389. The next prime is 116425224469. The reversal of 116425224432 is 234422524611.

116425224432 is a `hidden beast` number, since 1 + 1 + 6 + 425 + 224 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941263 + ... + 1057745.

Almost surely, 2116425224432 is an apocalyptic number.

116425224432 is a gapful number since it is divisible by the number (12) 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 116425224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178008053184).

116425224432 is an abundant number, since it is smaller than the sum of its proper divisors (239590881936).

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

116425224432 is a wasteful number, since it uses less digits than its factorization.

116425224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117139 (or 117130 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 116425224432 in words is "one hundred sixteen billion, four hundred twenty-five million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 631 792 1262 1584 1893 2524 3786 5048 5679 6941 7572 10096 11358 13882 15144 20823 22716 27764 30288 41646 45432 55528 62469 83292 90864 111056 116483 124938 166584 232966 249876 333168 349449 465932 499752 698898 931864 999504 1048347 1281313 1397796 1863728 2096694 2562626 2795592 3843939 4193388 5125252 5591184 7687878 8386776 10250504 11531817 15375756 16773552 20501008 23063634 30751512 46127268 61503024 73500773 92254536 147001546 184509072 220502319 294003092 441004638 588006184 661506957 808508503 882009276 1176012368 1323013914 1617017006 1764018552 2425525509 2646027828 3234034012 3528037104 4851051018 5292055656 6468068024 7276576527 9702102036 10584111312 12936136048 14553153054 19404204072 29106306108 38808408144 58212612216 116425224432