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109755973992 = 233743111871277
BaseRepresentation
bin110011000110111110…
…1110100000101101000
3101111022002020011121210
41212031331310011220
53244240012131432
6122230551233120
710633566246240
oct1461575640550
9344262204553
10109755973992
1142602427825
12193310787a0
13a471a99712
145452a20b20
152cc59938cc
hex198df74168

109755973992 has 128 divisors (see below), whose sum is σ = 314827223040. Its totient is φ = 31235255040.

The previous prime is 109755973913. The next prime is 109755973997. The reversal of 109755973992 is 299379557901.

It is not an unprimeable number, because it can be changed into a prime (109755973997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85947658 + ... + 85948934.

It is an arithmetic number, because the mean of its divisors is an integer number (2459587680).

Almost surely, 2109755973992 is an apocalyptic number.

109755973992 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 109755973992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157413611520).

109755973992 is an abundant number, since it is smaller than the sum of its proper divisors (205071249048).

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

109755973992 is a wasteful number, since it uses less digits than its factorization.

109755973992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 48223350, while the sum is 66.

The spelling of 109755973992 in words is "one hundred nine billion, seven hundred fifty-five million, nine hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 431 862 1187 1277 1293 1724 2374 2554 2586 3017 3448 3561 3831 4748 5108 5172 6034 7122 7662 8309 8939 9051 9496 10216 10344 12068 14244 15324 16618 17878 18102 24136 24927 26817 28488 30648 33236 35756 36204 49854 53634 66472 71512 72408 99708 107268 199416 214536 511597 550387 1023194 1100774 1515799 1534791 1651161 2046388 2201548 3031598 3069582 3302322 3581179 3852709 4092776 4403096 4547397 6063196 6139164 6604644 7162358 7705418 9094794 10610593 10743537 11558127 12126392 12278328 13209288 14324716 15410836 18189588 21221186 21487074 23116254 28649432 30821672 31831779 36379176 42442372 42974148 46232508 63663558 84884744 85948296 92465016 127327116 254654232 653309369 1306618738 1959928107 2613237476 3919856214 4573165583 5226474952 7839712428 9146331166 13719496749 15679424856 18292662332 27438993498 36585324664 54877986996 109755973992