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107850082432 = 27171913119913
BaseRepresentation
bin110010001110001011…
…1011010100010000000
3101022101020221211220111
41210130113122202000
53231334110114212
6121313505321104
710535424401131
oct1443427324200
9338336854814
10107850082432
1141814618234
1218a9a936194
13a229c82331
145311861c88
152c134beea7
hex191c5da880

107850082432 has 128 divisors (see below), whose sum is σ = 241309886400. Its totient is φ = 47712337920.

The previous prime is 107850082399. The next prime is 107850082447. The reversal of 107850082432 is 234280058701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5406108 + ... + 5426020.

Almost surely, 2107850082432 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 107850082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120654943200).

107850082432 is an abundant number, since it is smaller than the sum of its proper divisors (133459803968).

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

107850082432 is a wasteful number, since it uses less digits than its factorization.

107850082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20094 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 107850082432 in words is "one hundred seven billion, eight hundred fifty million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 131 136 152 262 272 304 323 524 544 608 646 1048 1088 1216 1292 2096 2176 2227 2432 2489 2584 4192 4454 4978 5168 8384 8908 9956 10336 16768 17816 19912 19913 20672 35632 39824 39826 41344 42313 71264 79648 79652 84626 142528 159296 159304 169252 285056 318592 318608 338504 338521 378347 637216 677008 677042 756694 1274432 1354016 1354084 1513388 2548864 2608603 2708032 2708168 3026776 5217206 5416064 5416336 6053552 6431899 10434412 10832672 12107104 12863798 20868824 21665344 24214208 25727596 41737648 43330688 44346251 48428416 49563457 51455192 83475296 88692502 99126914 102910384 166950592 177385004 198253828 205820768 333901184 354770008 396507656 411641536 709540016 793015312 823283072 842578769 1419080032 1586030624 1685157538 2838160064 3172061248 3370315076 5676320128 6344122496 6740630152 13481260304 26962520608 53925041216 107850082432