Search a number
-
+
116907204092 = 227231149263491
BaseRepresentation
bin110110011100000110…
…1100101110111111100
3102011202110112022002212
41230320031211313330
53403411221012332
6125412331035552
711306032560500
oct1547015456774
9364673468085
10116907204092
1145642083848
121a7a7b9bbb8
13b041512413
1459306a6300
1530936d18b2
hex1b38365dfc

116907204092 has 144 divisors (see below), whose sum is σ = 248761497600. Its totient is φ = 47880604800.

The previous prime is 116907204083. The next prime is 116907204101. The reversal of 116907204092 is 290402709611.

It is an interprime number because it is at equal distance from previous prime (116907204083) and next prime (116907204101).

It is a congruent number.

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, 238099967 + ... + 238100457.

It is an arithmetic number, because the mean of its divisors is an integer number (1727510400).

Almost surely, 2116907204092 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 116907204092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124380748800).

116907204092 is an abundant number, since it is smaller than the sum of its proper divisors (131854293508).

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

116907204092 is a wasteful number, since it uses less digits than its factorization.

116907204092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 116907204092 in words is "one hundred sixteen billion, nine hundred seven million, two hundred four thousand, ninety-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 149 196 217 263 298 434 491 526 596 868 982 1043 1052 1519 1841 1964 2086 3038 3437 3682 4172 4619 6076 6874 7301 7364 8153 9238 12887 13748 14602 15221 16306 18476 24059 25774 29204 30442 32333 32612 39187 48118 51548 57071 60884 64666 73159 78374 96236 106547 114142 129133 129332 146318 156748 213094 226331 228284 258266 274309 292636 399497 426188 452662 512113 516532 548618 745829 798994 903931 905324 1024226 1097236 1214797 1491658 1597988 1807862 1920163 2048452 2267929 2429594 2983316 3584791 3615724 3840326 4003123 4535858 4859188 6327517 7169582 7680652 8006246 8503579 9071716 12655034 14339164 15875503 16012492 17007158 19240817 25310068 28021861 31751006 34014316 38481634 56043722 59525053 63502012 76963268 111128521 112087444 119050106 134685719 196153027 222257042 238100212 269371438 392306054 444514084 538742876 596465327 784612108 942800033 1192930654 1885600066 2385861308 3771200132 4175257289 8350514578 16701029156 29226801023 58453602046 116907204092