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12938070081168 = 243329949236299
BaseRepresentation
bin1011110001000110000100…
…0100100011111010010000
31200210212102100102200121000
42330101201010203322100
53143434131420044133
643303400051302000
72503513303104231
oct274214104437220
950725370380530
1012938070081168
1141390062a20a1
12154b5995aa900
1372b09345062b
1432a2c511b088
151768377b6413
hexbc461123e90

12938070081168 has 40 divisors (see below), whose sum is σ = 37137053012000. Its totient is φ = 4312690026912.

The previous prime is 12938070081103. The next prime is 12938070081193. The reversal of 12938070081168 is 86118007083921.

12938070081168 is a `hidden beast` number, since 1 + 29 + 380 + 7 + 0 + 0 + 81 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14974617718 + ... + 14974618581.

It is an arithmetic number, because the mean of its divisors is an integer number (928426325300).

Almost surely, 212938070081168 is an apocalyptic number.

12938070081168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12938070081168 is an abundant number, since it is smaller than the sum of its proper divisors (24198982930832).

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

12938070081168 is a wasteful number, since it uses less digits than its factorization.

12938070081168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29949236316 (or 29949236304 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 12938070081168 in words is "twelve trillion, nine hundred thirty-eight billion, seventy million, eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 29949236299 59898472598 89847708897 119796945196 179695417794 239593890392 269543126691 359390835588 479187780784 539086253382 718781671176 808629380073 1078172506764 1437563342352 1617258760146 2156345013528 3234517520292 4312690027056 6469035040584 12938070081168