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151387862080 = 265713233741149
BaseRepresentation
bin1000110011111101101…
…0110111010001000000
3112110202110222012201211
42030333122313101000
54440020243041310
6153314023135504
713636350411250
oct2147732672100
9473673865654
10151387862080
1159226557504
122540b5a4594
1311377c6b220
147481c23960
153e10877c8a
hex233f6b7440

151387862080 has 896 divisors, whose sum is σ = 490352486400. Its totient is φ = 43210506240.

The previous prime is 151387861981. The next prime is 151387862081. The reversal of 151387862080 is 80268783151.

151387862080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151387862081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1016025846 + ... + 1016025994.

It is an arithmetic number, because the mean of its divisors is an integer number (547268400).

Almost surely, 2151387862080 is an apocalyptic number.

151387862080 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 151387862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245176243200).

151387862080 is an abundant number, since it is smaller than the sum of its proper divisors (338964624320).

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

151387862080 is a wasteful number, since it uses less digits than its factorization.

151387862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 151387862080 in words is "one hundred fifty-one billion, three hundred eighty-seven million, eight hundred sixty-two thousand, eighty".