Search a number
-
+
151661922048 = 283571373367
BaseRepresentation
bin1000110100111111000…
…0010100011100000000
3112111110120122220100000
42031033300110130000
54441100423001143
6153401133200000
713646216032020
oct2151760243400
9474416586300
10151661922048
115935722384a
1225487330000
13113bc985ca0
1474aa3a3a80
153e29960bd3
hex234fc14700

151661922048 has 864 divisors, whose sum is σ = 567309223936. Its totient is φ = 39343325184.

The previous prime is 151661922031. The next prime is 151661922067. The reversal of 151661922048 is 840229166151.

151661922048 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 619 + 2 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 151661921994 and 151661922012.

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, 413247561 + ... + 413247927.

Almost surely, 2151661922048 is an apocalyptic number.

151661922048 is a gapful number since it is divisible by the number (18) 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 151661922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283654611968).

151661922048 is an abundant number, since it is smaller than the sum of its proper divisors (415647301888).

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

151661922048 is an equidigital number, since it uses as much as digits as its factorization.

151661922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 151661922048 in words is "one hundred fifty-one billion, six hundred sixty-one million, nine hundred twenty-two thousand, forty-eight".