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150378314724 = 223411163379683
BaseRepresentation
bin1000110000001100111…
…1101111101111100100
3112101011010022220010000
42030003033233233210
54430433322032344
6153025521101300
713602341404431
oct2140317575744
9471133286100
10150378314724
1158858702650
1225189487830
1311246a6a521
1473c7b0cb88
153da1e0ca69
hex23033efbe4

150378314724 has 240 divisors, whose sum is σ = 433259608320. Its totient is φ = 45103988160.

The previous prime is 150378314707. The next prime is 150378314759. The reversal of 150378314724 is 427413873051.

150378314724 is a `hidden beast` number, since 1 + 503 + 7 + 83 + 1 + 47 + 24 = 666.

It is a super-2 number, since 2×1503783147242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150378314724.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220172887 + ... + 220173569.

It is an arithmetic number, because the mean of its divisors is an integer number (1805248368).

Almost surely, 2150378314724 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 150378314724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216629804160).

150378314724 is an abundant number, since it is smaller than the sum of its proper divisors (282881293596).

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

150378314724 is a wasteful number, since it uses less digits than its factorization.

150378314724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 150378314724 in words is "one hundred fifty billion, three hundred seventy-eight million, three hundred fourteen thousand, seven hundred twenty-four".