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161326137379680 = 25325713175910931123
BaseRepresentation
bin100100101011100110101011…
…000111001000101101100000
3210011012121221220010221220100
4210223212223013020231200
5132121131412132122210
61331040112051342400
745660300035052450
oct4453465307105540
9704177856127810
10161326137379680
11474490378726a9
1216116104bb1a00
136c02cb2b629b0
142bba326149d60
15139b6e2c365c0
hex92b9ab1c8b60

161326137379680 has 2304 divisors, whose sum is σ = 730904378480640. Its totient is φ = 31435993645056.

The previous prime is 161326137379657. The next prime is 161326137379783. The reversal of 161326137379680 is 86973731623161.

161326137379680 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 2 + 613 + 7 + 3 + 7 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1613261373796802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143656399599 + ... + 143656400721.

It is an arithmetic number, because the mean of its divisors is an integer number (317232803160).

Almost surely, 2161326137379680 is an apocalyptic number.

161326137379680 is a gapful number since it is divisible by the number (10) 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 161326137379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365452189240320).

161326137379680 is an abundant number, since it is smaller than the sum of its proper divisors (569578241100960).

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

161326137379680 is a wasteful number, since it uses less digits than its factorization.

161326137379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 161326137379680 in words is "one hundred sixty-one trillion, three hundred twenty-six billion, one hundred thirty-seven million, three hundred seventy-nine thousand, six hundred eighty".