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38179801983996 = 22333722674214603
BaseRepresentation
bin10001010111001011011011…
…00010001110101111111100
312000011221202001020022201000
420223211231202032233330
520001014213301441441
6213111320415450300
711020254041143431
oct1053455542165774
9160157661208630
1038179801983996
111118aa65969082
124347602526990
13183c4559366ca
1495dcab3dbb88
15463226d812b6
hex22b96d88ebfc

38179801983996 has 96 divisors (see below), whose sum is σ = 101704800718080. Its totient is φ = 12377173419072.

The previous prime is 38179801983991. The next prime is 38179801984019. The reversal of 38179801983996 is 69938910897183.

38179801983996 is a `hidden beast` number, since 3 + 81 + 79 + 80 + 1 + 9 + 8 + 399 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38179801983991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6951631 + ... + 11166233.

It is an arithmetic number, because the mean of its divisors is an integer number (1059425007480).

Almost surely, 238179801983996 is an apocalyptic number.

38179801983996 is a gapful number since it is divisible by the number (36) 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 38179801983996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50852400359040).

38179801983996 is an abundant number, since it is smaller than the sum of its proper divisors (63524998734084).

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

38179801983996 is a wasteful number, since it uses less digits than its factorization.

38179801983996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216920 (or 4216912 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 81.

The spelling of 38179801983996 in words is "thirty-eight trillion, one hundred seventy-nine billion, eight hundred one million, nine hundred eighty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2267 3996 4534 6801 9068 13602 20403 27204 40806 61209 81612 83879 122418 167758 244836 251637 335516 503274 754911 1006548 1509822 2264733 3019644 4214603 4529466 8429206 9058932 12643809 16858412 25287618 37931427 50575236 75862854 113794281 151725708 155940311 227588562 311880622 455177124 467820933 623761244 935641866 1403462799 1871283732 2806925598 4210388397 5613851196 8420776794 9554505001 16841553588 19109010002 28663515003 38218020004 57327030006 85990545009 114654060012 171981090018 257971635027 343962180036 353516685037 515943270054 707033370074 1031886540108 1060550055111 1414066740148 2121100110222 3181650165333 4242200220444 6363300330666 9544950495999 12726600661332 19089900991998 38179801983996