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161169934464 = 27337211312791
BaseRepresentation
bin1001011000011001111…
…0100000100010000000
3120102000012122222101000
42112012132200202000
510120034000400324
6202012423012000
714433640560600
oct2260636404200
9512005588330
10161169934464
1162396254250
122729b59a000
1312276765336
147b2d058c00
1542d45399c9
hex25867a0880

161169934464 has 768 divisors, whose sum is σ = 623335219200. Its totient is φ = 40497408000.

The previous prime is 161169934459. The next prime is 161169934469. The reversal of 161169934464 is 464439961161.

161169934464 is a `hidden beast` number, since 1 + 61 + 1 + 6 + 99 + 34 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (161169934459) and next prime (161169934469).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 161169934464.

It is not an unprimeable number, because it can be changed into a prime (161169934469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57744909 + ... + 57747699.

It is an arithmetic number, because the mean of its divisors is an integer number (811634400).

Almost surely, 2161169934464 is an apocalyptic number.

161169934464 is a gapful number since it is divisible by the number (14) 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 161169934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311667609600).

161169934464 is an abundant number, since it is smaller than the sum of its proper divisors (462165284736).

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

161169934464 is a wasteful number, since it uses less digits than its factorization.

161169934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2845 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 161169934464 in words is "one hundred sixty-one billion, one hundred sixty-nine million, nine hundred thirty-four thousand, four hundred sixty-four".