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139735094148 = 22321323411312417
BaseRepresentation
bin1000001000100011011…
…1000101001110000100
3111100200101020021020100
42002020313011032010
54242134141003043
6144105440004100
713044523463016
oct2021067051604
9440611207210
10139735094148
11542968aa491
12230b9000630
131023ba30a80
146a983921b6
15397c845cd3
hex2088dc5384

139735094148 has 288 divisors, whose sum is σ = 409883265792. Its totient is φ = 39800217600.

The previous prime is 139735094137. The next prime is 139735094159. The reversal of 139735094148 is 841490537931.

139735094148 is a `hidden beast` number, since 1 + 3 + 97 + 3 + 509 + 4 + 1 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (139735094137) and next prime (139735094159).

It is a junction number, because it is equal to n+sod(n) for n = 139735094094 and 139735094103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57812236 + ... + 57814652.

It is an arithmetic number, because the mean of its divisors is an integer number (1423205784).

Almost surely, 2139735094148 is an apocalyptic number.

139735094148 is a gapful number since it is divisible by the number (18) 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 139735094148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204941632896).

139735094148 is an abundant number, since it is smaller than the sum of its proper divisors (270148171644).

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

139735094148 is a wasteful number, since it uses less digits than its factorization.

139735094148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 139735094148 in words is "one hundred thirty-nine billion, seven hundred thirty-five million, ninety-four thousand, one hundred forty-eight".