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161072810496 = 293513531879
BaseRepresentation
bin1001011000000010110…
…0000000101000000000
3120101202102220120100000
42112000230000220000
510114334114413441
6201555033200000
714431351204413
oct2260054005000
9511672816300
10161072810496
1162346447604
1227272b60000
131225c5ba930
147b201b5b7a
1542cac522b6
hex2580b00a00

161072810496 has 480 divisors, whose sum is σ = 529244876160. Its totient is φ = 48599875584.

The previous prime is 161072810489. The next prime is 161072810537. The reversal of 161072810496 is 694018270161.

161072810496 is a `hidden beast` number, since 1 + 6 + 10 + 72 + 81 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85721685 + ... + 85723563.

It is an arithmetic number, because the mean of its divisors is an integer number (1102593492).

Almost surely, 2161072810496 is an apocalyptic number.

161072810496 is a gapful number since it is divisible by the number (16) 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 161072810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264622438080).

161072810496 is an abundant number, since it is smaller than the sum of its proper divisors (368172065664).

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

161072810496 is an equidigital number, since it uses as much as digits as its factorization.

161072810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 161072810496 in words is "one hundred sixty-one billion, seventy-two million, eight hundred ten thousand, four hundred ninety-six".