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150786931680 = 2532572111311483
BaseRepresentation
bin1000110001101110011…
…0011111101111100000
3112102012121012210012100
42030123212133233200
54432302423303210
6153134235130400
713615432525500
oct2143346375740
9472177183170
10150786931680
1158a48323610
12252822a3a00
13112b0607cc8
1474260b7a00
153dc7c245c0
hex231b99fbe0

150786931680 has 864 divisors, whose sum is σ = 658414044288. Its totient is φ = 31072204800.

The previous prime is 150786931663. The next prime is 150786931739. The reversal of 150786931680 is 86139687051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101676219 + ... + 101677701.

It is an arithmetic number, because the mean of its divisors is an integer number (762053292).

Almost surely, 2150786931680 is an apocalyptic number.

150786931680 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 150786931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329207022144).

150786931680 is an abundant number, since it is smaller than the sum of its proper divisors (507627112608).

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

150786931680 is a wasteful number, since it uses less digits than its factorization.

150786931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 150786931680 in words is "one hundred fifty billion, seven hundred eighty-six million, nine hundred thirty-one thousand, six hundred eighty".