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104458273920 = 2735571121361
BaseRepresentation
bin110000101001000110…
…0101100010010000000
3100222121212200010100000
41201102030230102000
53202412304231140
6115553143200000
710355400451440
oct1412214542200
9328555603300
10104458273920
1140333a77300
12182b2a46000
139b09366b50
1450ad1c8120
152ab5834a30
hex185232c480

104458273920 has 2304 divisors, whose sum is σ = 514344579840. Its totient is φ = 19707494400.

The previous prime is 104458273877. The next prime is 104458273951. The reversal of 104458273920 is 29372854401.

104458273920 is a `hidden beast` number, since 1 + 0 + 44 + 582 + 7 + 3 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1712430690 + ... + 1712430750.

It is an arithmetic number, because the mean of its divisors is an integer number (223239835).

Almost surely, 2104458273920 is an apocalyptic number.

104458273920 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 104458273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257172289920).

104458273920 is an abundant number, since it is smaller than the sum of its proper divisors (409886305920).

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

104458273920 is a wasteful number, since it uses less digits than its factorization.

104458273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104458273920 in words is "one hundred four billion, four hundred fifty-eight million, two hundred seventy-three thousand, nine hundred twenty".