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107993250612 = 22321310712716981
BaseRepresentation
bin110010010010011100…
…1100011101100110100
3101022202020100112201200
41210210321203230310
53232132233004422
6121340022052500
710542113325102
oct1444471435464
9338666315650
10107993250612
1141888413645
1218b1a87a130
13a25082b730
14532688cc72
152c20d502ac
hex1924e63b34

107993250612 has 144 divisors (see below), whose sum is σ = 299083180032. Its totient is φ = 32657022720.

The previous prime is 107993250559. The next prime is 107993250613. The reversal of 107993250612 is 216052399701.

It is a happy number.

107993250612 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 9 + 3 + 25 + 0 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107993250613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6351162 + ... + 6368142.

It is an arithmetic number, because the mean of its divisors is an integer number (2076966528).

Almost surely, 2107993250612 is an apocalyptic number.

107993250612 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 107993250612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149541590016).

107993250612 is an abundant number, since it is smaller than the sum of its proper divisors (191089929420).

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

107993250612 is a wasteful number, since it uses less digits than its factorization.

107993250612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17238 (or 17233 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 107993250612 in words is "one hundred seven billion, nine hundred ninety-three million, two hundred fifty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 127 156 214 234 254 321 381 428 468 508 642 762 963 1143 1284 1391 1524 1651 1926 2286 2782 3302 3852 4173 4572 4953 5564 6604 8346 9906 12519 13589 14859 16692 16981 19812 25038 27178 29718 33962 40767 50076 50943 54356 59436 67924 81534 101886 122301 152829 163068 176657 203772 220753 244602 305658 353314 441506 489204 529971 611316 662259 706628 883012 1059942 1324518 1589913 1816967 1986777 2119884 2156587 2649036 3179826 3633934 3973554 4313174 5450901 6359652 6469761 7267868 7947108 8626348 10901802 12939522 16352703 19409283 21803604 23620571 25879044 28035631 32705406 38818566 47241142 56071262 65410812 70861713 77637132 84106893 94482284 112142524 141723426 168213786 212585139 230754809 252320679 283446852 336427572 425170278 461509618 504641358 692264427 850340556 923019236 1009282716 1384528854 2076793281 2769057708 2999812517 4153586562 5999625034 8307173124 8999437551 11999250068 17998875102 26998312653 35997750204 53996625306 107993250612