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149932975104 = 210361119312
BaseRepresentation
bin1000101110100010110…
…0111010010000000000
3112100000002100022000000
42023220230322100000
54424030320200404
6152513412000000
713555323155253
oct2135054722000
9470002308000
10149932975104
115864a28a380
1225084300000
13111a5712b63
14738490509a
153d77c90339
hex22e8b3a400

149932975104 has 924 divisors, whose sum is σ = 533210256720. Its totient is φ = 41654476800.

The previous prime is 149932975099. The next prime is 149932975111. The reversal of 149932975104 is 401579239941.

149932975104 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 32 + 97 + 510 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4836547569 + ... + 4836547599.

Almost surely, 2149932975104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149932975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266605128360).

149932975104 is an abundant number, since it is smaller than the sum of its proper divisors (383277281616).

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

149932975104 is an equidigital number, since it uses as much as digits as its factorization.

149932975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 149932975104 in words is "one hundred forty-nine billion, nine hundred thirty-two million, nine hundred seventy-five thousand, one hundred four".