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152148707568 = 2432111347157207
BaseRepresentation
bin1000110110110011000…
…1010000100011110000
3112112201111122011112100
42031230301100203300
54443100032120233
6153521322500400
713664246450544
oct2155461204360
9475644564470
10152148707568
1159586a84a30
12255a2364700
1311469792360
147514cb9a24
153e57568813
hex236cc508f0

152148707568 has 240 divisors, whose sum is σ = 510893300736. Its totient is φ = 41653301760.

The previous prime is 152148707537. The next prime is 152148707573. The reversal of 152148707568 is 865707841251.

152148707568 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 4 + 8 + 70 + 7 + 568 = 666.

It is a super-2 number, since 2×1521487075682 (a number of 23 digits) contains 22 as substring.

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, 889221 + ... + 1046427.

Almost surely, 2152148707568 is an apocalyptic number.

152148707568 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 152148707568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255446650368).

152148707568 is an abundant number, since it is smaller than the sum of its proper divisors (358744593168).

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

152148707568 is a wasteful number, since it uses less digits than its factorization.

152148707568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157292 (or 157283 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 152148707568 in words is "one hundred fifty-two billion, one hundred forty-eight million, seven hundred seven thousand, five hundred sixty-eight".