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149870036160 = 263851317219
BaseRepresentation
bin1000101110010011110…
…0110100010011000000
3112022211200220200000000
42023210330310103000
54423413212124120
6152503243000000
713553630200635
oct2134474642300
9468750820000
10149870036160
1158617801419
1225067209000
1311195677290
14737a40018c
153d724ab990
hex22e4f344c0

149870036160 has 1512 divisors, whose sum is σ = 644600458320. Its totient is φ = 32893599744.

The previous prime is 149870036123. The next prime is 149870036209. The reversal of 149870036160 is 61630078941.

It is a happy number.

149870036160 is a `hidden beast` number, since 1 + 498 + 70 + 0 + 36 + 1 + 60 = 666.

It is a super-2 number, since 2×1498700361602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7887896631 + ... + 7887896649.

Almost surely, 2149870036160 is an apocalyptic number.

149870036160 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 149870036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322300229160).

149870036160 is an abundant number, since it is smaller than the sum of its proper divisors (494730422160).

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

149870036160 is an equidigital number, since it uses as much as digits as its factorization.

149870036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149870036160 in words is "one hundred forty-nine billion, eight hundred seventy million, thirty-six thousand, one hundred sixty".