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163131194352 = 243722331891093
BaseRepresentation
bin1001011111101101100…
…0000111101111110000
3120121001220010022011010
42113323120013233300
510133043041204402
6202535203350520
714533354162500
oct2277330075760
9517056108133
10163131194352
1163202340895
1227748382440
13124c9b97449
147c7770ba00
15439b7e8a6c
hex25fb607bf0

163131194352 has 480 divisors, whose sum is σ = 534462935040. Its totient is φ = 42620497920.

The previous prime is 163131194341. The next prime is 163131194407. The reversal of 163131194352 is 253491131361.

It is a happy number.

It is a super-2 number, since 2×1631311943522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163131194352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149250318 + ... + 149251410.

It is an arithmetic number, because the mean of its divisors is an integer number (1113464448).

Almost surely, 2163131194352 is an apocalyptic number.

163131194352 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 163131194352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267231467520).

163131194352 is an abundant number, since it is smaller than the sum of its proper divisors (371331740688).

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

163131194352 is a wasteful number, since it uses less digits than its factorization.

163131194352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The spelling of 163131194352 in words is "one hundred sixty-three billion, one hundred thirty-one million, one hundred ninety-four thousand, three hundred fifty-two".