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150609525552 = 243317311275209
BaseRepresentation
bin1000110001000100000…
…1101111101100110000
3112101202020101121202000
42030101001233230300
54431422014304202
6153104500454000
713611146562453
oct2142101575460
9471666347660
10150609525552
1158967172782
12252329aa300
1311282931975
14740a6d749a
153db737e91c
hex231106fb30

150609525552 has 320 divisors, whose sum is σ = 476312371200. Its totient is φ = 45357096960.

The previous prime is 150609525523. The next prime is 150609525617. The reversal of 150609525552 is 255525906051.

150609525552 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 0 + 95 + 2 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150609525498 and 150609525507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28910724 + ... + 28915932.

It is an arithmetic number, because the mean of its divisors is an integer number (1488476160).

Almost surely, 2150609525552 is an apocalyptic number.

150609525552 is a gapful number since it is divisible by the number (12) 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 150609525552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238156185600).

150609525552 is an abundant number, since it is smaller than the sum of its proper divisors (325702845648).

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

150609525552 is a wasteful number, since it uses less digits than its factorization.

150609525552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 150609525552 in words is "one hundred fifty billion, six hundred nine million, five hundred twenty-five thousand, five hundred fifty-two".