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150969876480 = 215325432381
BaseRepresentation
bin1000110010011010000…
…0011000000000000000
3112102200100110100021200
42030212200120000000
54433141242021410
6153204332221200
713623113530323
oct2144640300000
9472610410250
10150969876480
1159031617765
122531360a800
131130c4a0377
1474424da7ba
153dd8d103c0
hex2326818000

150969876480 has 384 divisors, whose sum is σ = 535750197840. Its totient is φ = 39305871360.

The previous prime is 150969876467. The next prime is 150969876481. The reversal of 150969876480 is 84678969051.

150969876480 is a `hidden beast` number, since 1 + 509 + 6 + 9 + 87 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150969876481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63404890 + ... + 63407270.

Almost surely, 2150969876480 is an apocalyptic number.

150969876480 is a gapful number since it is divisible by the number (10) 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 150969876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875098920).

150969876480 is an abundant number, since it is smaller than the sum of its proper divisors (384780321360).

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

150969876480 is an equidigital number, since it uses as much as digits as its factorization.

150969876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 150969876480 in words is "one hundred fifty billion, nine hundred sixty-nine million, eight hundred seventy-six thousand, four hundred eighty".