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150607853928 = 233372472771093
BaseRepresentation
bin1000110001000011101…
…1010111100101101000
3112101202010020200201000
42030100323113211220
54431421102311203
6153104400555000
713611126431100
oct2142073274550
9471663220630
10150607853928
1158966230874
1225232322a60
1311282497b3c
14740a3c0200
153db714e4a3
hex2310ed7968

150607853928 has 384 divisors, whose sum is σ = 499263091200. Its totient is φ = 41924832768.

The previous prime is 150607853927. The next prime is 150607854011. The reversal of 150607853928 is 829358706051.

150607853928 is a `hidden beast` number, since 1 + 5 + 0 + 607 + 8 + 5 + 3 + 9 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150607853927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137792550 + ... + 137793642.

It is an arithmetic number, because the mean of its divisors is an integer number (1300164300).

Almost surely, 2150607853928 is an apocalyptic number.

150607853928 is a gapful number since it is divisible by the number (18) 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 150607853928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631545600).

150607853928 is an abundant number, since it is smaller than the sum of its proper divisors (348655237272).

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

150607853928 is a wasteful number, since it uses less digits than its factorization.

150607853928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 150607853928 in words is "one hundred fifty billion, six hundred seven million, eight hundred fifty-three thousand, nine hundred twenty-eight".