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104015529540 = 22345137976197
BaseRepresentation
bin110000011011111001…
…1110000011001000100
3100221111000120101020000
41200313303300121010
53201010433421130
6115441205441300
710341413261466
oct1406763603104
9327430511200
10104015529540
114012706695a
12181aa710230
139a6870a820
14506a498136
152a8ba2b260
hex1837cf0644

104015529540 has 240 divisors, whose sum is σ = 351898292592. Its totient is φ = 25567570944.

The previous prime is 104015529523. The next prime is 104015529593. The reversal of 104015529540 is 45925510401.

104015529540 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 55 + 29 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10775685636 + 93239843904 = 103806^2 + 305352^2 .

It is a super-2 number, since 2×1040155295402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104015529495 and 104015529504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16781722 + ... + 16787918.

Almost surely, 2104015529540 is an apocalyptic number.

104015529540 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 104015529540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175949146296).

104015529540 is an abundant number, since it is smaller than the sum of its proper divisors (247882763052).

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

104015529540 is a wasteful number, since it uses less digits than its factorization.

104015529540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 104015529540 in words is "one hundred four billion, fifteen million, five hundred twenty-nine thousand, five hundred forty".