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150052315260 = 223517378347903
BaseRepresentation
bin1000101110111111010…
…0001010000001111100
3112100022101220101220210
42023233310022001330
54424301343042020
6152533313512420
713561302430611
oct2135764120174
9470271811823
10150052315260
1158700690401
12250b8272710
13111c4368633
1473966cc508
153d834b53e0
hex22efd0a07c

150052315260 has 192 divisors, whose sum is σ = 462398533632. Its totient is φ = 36200116224.

The previous prime is 150052315229. The next prime is 150052315271. The reversal of 150052315260 is 62513250051.

It is a happy number.

150052315260 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 Harshad number since it is a multiple of its sum of digits (30).

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, 3108469 + ... + 3156371.

It is an arithmetic number, because the mean of its divisors is an integer number (2408325696).

Almost surely, 2150052315260 is an apocalyptic number.

150052315260 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 150052315260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231199266816).

150052315260 is an abundant number, since it is smaller than the sum of its proper divisors (312346218372).

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

150052315260 is a wasteful number, since it uses less digits than its factorization.

150052315260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48052 (or 48050 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 150052315260 in words is "one hundred fifty billion, fifty-two million, three hundred fifteen thousand, two hundred sixty".