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150238789632 = 217355389
BaseRepresentation
bin1000101111101011101…
…1100000000000000000
3112100210101210021200000
42023322323200000000
54430142112232012
6153004014400000
713566025432641
oct2137273400000
9470711707600
10150238789632
1158796975358
122514a800000
1311223b983b9
1473b338d6c8
153d94a4bddc
hex22faee0000

150238789632 has 432 divisors, whose sum is σ = 463741452720. Its totient is φ = 48582623232.

The previous prime is 150238789621. The next prime is 150238789667. The reversal of 150238789632 is 236987832051.

150238789632 is a `hidden beast` number, since 1 + 502 + 3 + 8 + 78 + 9 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688076244 + ... + 1688076332.

It is an arithmetic number, because the mean of its divisors is an integer number (1073475585).

Almost surely, 2150238789632 is an apocalyptic number.

150238789632 is a gapful number since it is divisible by the number (12) 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 150238789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231870726360).

150238789632 is an abundant number, since it is smaller than the sum of its proper divisors (313502663088).

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

150238789632 is an frugal number, since it uses more digits than its factorization.

150238789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 150238789632 in words is "one hundred fifty billion, two hundred thirty-eight million, seven hundred eighty-nine thousand, six hundred thirty-two".