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104675248512 = 2733299771069
BaseRepresentation
bin110000101111100100…
…0011000100110000000
3101000011222221120112000
41201133020120212000
53203333330423022
6120030453504000
710363643634432
oct1413710304600
9330158846460
10104675248512
11404354a354a
1218353642000
139b422b5493
1450cdd48652
152ac98e36ac
hex185f218980

104675248512 has 256 divisors, whose sum is σ = 320216760000. Its totient is φ = 33622622208.

The previous prime is 104675248501. The next prime is 104675248519. The reversal of 104675248512 is 215842576401.

104675248512 is a `hidden beast` number, since 1 + 0 + 46 + 7 + 52 + 48 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104675248519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97918314 + ... + 97919382.

Almost surely, 2104675248512 is an apocalyptic number.

104675248512 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 104675248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160108380000).

104675248512 is an abundant number, since it is smaller than the sum of its proper divisors (215541511488).

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

104675248512 is a wasteful number, since it uses less digits than its factorization.

104675248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 104675248512 in words is "one hundred four billion, six hundred seventy-five million, two hundred forty-eight thousand, five hundred twelve".