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150566965056 = 263247149163229
BaseRepresentation
bin1000110000111001111…
…1011000111101000000
3112101122021022022201100
42030032133120331000
54431330120340211
6153100340334400
713610122041414
oct2141637307500
9471567268640
10150566965056
1158945143412
12252206a4400
1311276b7c841
147404bb8d44
153db3774156
hex230e7d8f40

150566965056 has 336 divisors, whose sum is σ = 448385184000. Its totient is φ = 48280375296.

The previous prime is 150566965007. The next prime is 150566965067. The reversal of 150566965056 is 650569665051.

It is a happy number.

150566965056 is a `hidden beast` number, since 15 + 0 + 566 + 9 + 65 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150566964993 and 150566965011.

It is a congruent number.

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, 657497550 + ... + 657497778.

Almost surely, 2150566965056 is an apocalyptic number.

150566965056 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 150566965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224192592000).

150566965056 is an abundant number, since it is smaller than the sum of its proper divisors (297818218944).

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

150566965056 is a wasteful number, since it uses less digits than its factorization.

150566965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 150566965056 in words is "one hundred fifty billion, five hundred sixty-six million, nine hundred sixty-five thousand, fifty-six".