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149670387072 = 27321719140013
BaseRepresentation
bin1000101101100100001…
…1001101110110000000
3112022022210020102221100
42023121003031312000
54423011104341242
6152431351454400
713545654204423
oct2133103156600
9468283212840
10149670387072
1158525039078
1225010387400
13111631b391b
14735baad9ba
153d5ebc154c
hex22d90cdd80

149670387072 has 192 divisors, whose sum is σ = 458425992960. Its totient is φ = 46708408320.

The previous prime is 149670387017. The next prime is 149670387107. The reversal of 149670387072 is 270783076941.

149670387072 is a `hidden beast` number, since 1 + 496 + 7 + 0 + 3 + 87 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3720538 + ... + 3760550.

It is an arithmetic number, because the mean of its divisors is an integer number (2387635380).

Almost surely, 2149670387072 is an apocalyptic number.

149670387072 is a gapful number since it is divisible by the number (12) 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 149670387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229212996480).

149670387072 is an abundant number, since it is smaller than the sum of its proper divisors (308755605888).

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

149670387072 is a wasteful number, since it uses less digits than its factorization.

149670387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40241 (or 40226 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 149670387072 in words is "one hundred forty-nine billion, six hundred seventy million, three hundred eighty-seven thousand, seventy-two".