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150758453664 = 253372132191109
BaseRepresentation
bin1000110001100111100…
…1110111000110100000
3112102010121121221201000
42030121321313012200
54432223131004124
6153131340512000
713614635466300
oct2143171670640
9472117557630
10150758453664
1158a33242665
122527484b600
13112a7746a00
1474223c3600
153dc549b6c9
hex2319e771a0

150758453664 has 864 divisors, whose sum is σ = 583551864000. Its totient is φ = 37633849344.

The previous prime is 150758453663. The next prime is 150758453669. The reversal of 150758453664 is 466354857051.

It is a happy number.

150758453664 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 584 + 53 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1507584536642 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150758453664.

It is not an unprimeable number, because it can be changed into a prime (150758453663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135940342 + ... + 135941450.

It is an arithmetic number, because the mean of its divisors is an integer number (675407250).

Almost surely, 2150758453664 is an apocalyptic number.

150758453664 is a gapful number since it is divisible by the number (14) 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 150758453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291775932000).

150758453664 is an abundant number, since it is smaller than the sum of its proper divisors (432793410336).

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

150758453664 is a wasteful number, since it uses less digits than its factorization.

150758453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 150758453664 in words is "one hundred fifty billion, seven hundred fifty-eight million, four hundred fifty-three thousand, six hundred sixty-four".