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149479810560 = 293453719483
BaseRepresentation
bin1000101100110110110…
…0001110011000000000
3112021211111122011010000
42023031230032120000
54422113312414220
6152400423040000
713541151265653
oct2131554163000
9467744564100
10149479810560
1158437502123
1224b785a0000
1311132878962
14734066189a
153d4d0c9390
hex22cdb0e600

149479810560 has 400 divisors, whose sum is σ = 549887657616. Its totient is φ = 38781960192.

The previous prime is 149479810553. The next prime is 149479810589. The reversal of 149479810560 is 65018974941.

149479810560 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 79 + 8 + 1 + 0 + 560 = 666.

It is a super-4 number, since 4×1494798105604 (a number of 46 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 149479810497 and 149479810506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7662579 + ... + 7682061.

Almost surely, 2149479810560 is an apocalyptic number.

149479810560 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 149479810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274943828808).

149479810560 is an abundant number, since it is smaller than the sum of its proper divisors (400407847056).

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

149479810560 is an equidigital number, since it uses as much as digits as its factorization.

149479810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19530 counting only the distinct ones).

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

The spelling of 149479810560 in words is "one hundred forty-nine billion, four hundred seventy-nine million, eight hundred ten thousand, five hundred sixty".