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152264202048 = 26327373792693
BaseRepresentation
bin1000110111001110100…
…1110101011101000000
3112120000112221220011200
42031303221311131000
54443314113431143
6153541010141200
714000151235260
oct2156351653500
9476015856150
10152264202048
1159636199712
1225614b81800
131148769c59a
1475263817a0
153e6277e1d3
hex2373a75740

152264202048 has 336 divisors, whose sum is σ = 513809162880. Its totient is φ = 42200911872.

The previous prime is 152264202001. The next prime is 152264202053. The reversal of 152264202048 is 840202462251.

152264202048 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 642 + 0 + 2 + 0 + 4 + 8 = 666.

152264202048 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56539390 + ... + 56542082.

Almost surely, 2152264202048 is an apocalyptic number.

152264202048 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 152264202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256904581440).

152264202048 is an abundant number, since it is smaller than the sum of its proper divisors (361544960832).

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

152264202048 is a wasteful number, since it uses less digits than its factorization.

152264202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 152264202048 its reverse (840202462251), we get a palindrome (992466664299).

The spelling of 152264202048 in words is "one hundred fifty-two billion, two hundred sixty-four million, two hundred two thousand, forty-eight".