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150270566460 = 223572395632659
BaseRepresentation
bin1000101111110011010…
…0101110000000111100
3112100212121120201021120
42023330310232000330
54430223231111320
6153011111430540
713566562511520
oct2137464560074
9470777521246
10150270566460
11588028a97a3
1225159385450
131122a643061
1473b76a1d80
153d97727440
hex22fcd2e03c

150270566460 has 192 divisors, whose sum is σ = 483917414400. Its totient is φ = 34130251008.

The previous prime is 150270566431. The next prime is 150270566497. The reversal of 150270566460 is 64665072051.

150270566460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 56512611 + ... + 56515269.

It is an arithmetic number, because the mean of its divisors is an integer number (2520403200).

Almost surely, 2150270566460 is an apocalyptic number.

150270566460 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 150270566460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241958707200).

150270566460 is an abundant number, since it is smaller than the sum of its proper divisors (333646847940).

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

150270566460 is a wasteful number, since it uses less digits than its factorization.

150270566460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 150270566460 in words is "one hundred fifty billion, two hundred seventy million, five hundred sixty-six thousand, four hundred sixty".