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150737539680 = 25345721319312
BaseRepresentation
bin1000110001100010101…
…0000101001001100000
3112102002011021102010000
42030120222011021200
54432202302232210
6153125312340000
713614262642500
oct2143052051140
9472064242100
10150737539680
1158a22458682
1225269844600
13112a3303580
14741d6dba00
153dc3719ac0
hex2318a85260

150737539680 has 2160 divisors, whose sum is σ = 724868630640. Its totient is φ = 29158133760.

The previous prime is 150737539651. The next prime is 150737539681. The reversal of 150737539680 is 86935737051.

150737539680 is a `hidden beast` number, since 1 + 507 + 3 + 7 + 53 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150737539681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4862501265 + ... + 4862501295.

It is an arithmetic number, because the mean of its divisors is an integer number (335587329).

Almost surely, 2150737539680 is an apocalyptic number.

150737539680 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 150737539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362434315320).

150737539680 is an abundant number, since it is smaller than the sum of its proper divisors (574131090960).

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

150737539680 is a wasteful number, since it uses less digits than its factorization.

150737539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 150737539680 in words is "one hundred fifty billion, seven hundred thirty-seven million, five hundred thirty-nine thousand, six hundred eighty".