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149977067520 = 2123572311607
BaseRepresentation
bin1000101110101101010…
…1000111000000000000
3112100010011022102102110
42023223111013000000
54424123112130040
6152522025015320
713556400016500
oct2135325070000
9470104272373
10149977067520
1158672165695
1225097024540
13111b18b0347
14738a701a00
153d7ba9e980
hex22eb547000

149977067520 has 624 divisors, whose sum is σ = 576579299328. Its totient is φ = 33154007040.

The previous prime is 149977067477. The next prime is 149977067533. The reversal of 149977067520 is 25760779941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93326557 + ... + 93328163.

Almost surely, 2149977067520 is an apocalyptic number.

149977067520 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 149977067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288289649664).

149977067520 is an abundant number, since it is smaller than the sum of its proper divisors (426602231808).

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

149977067520 is a wasteful number, since it uses less digits than its factorization.

149977067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 149977067520 in words is "one hundred forty-nine billion, nine hundred seventy-seven million, sixty-seven thousand, five hundred twenty".