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104249859840 = 283357261561
BaseRepresentation
bin110000100010111000…
…1101001111100000000
3100222002100111120222000
41201011301221330000
53202000431003330
6115520340144000
710350260121300
oct1410561517400
9328070446860
10104249859840
1140237367765
1218255098000
139aa5124ac9
14508d655600
152aa23b7560
hex1845c69f00

104249859840 has 432 divisors, whose sum is σ = 430347929760. Its totient is φ = 23828152320.

The previous prime is 104249859821. The next prime is 104249859853. The reversal of 104249859840 is 48958942401.

It is a happy number.

104249859840 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 9 + 8 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662660 + ... + 1724220.

Almost surely, 2104249859840 is an apocalyptic number.

104249859840 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 104249859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215173964880).

104249859840 is an abundant number, since it is smaller than the sum of its proper divisors (326098069920).

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

104249859840 is an equidigital number, since it uses as much as digits as its factorization.

104249859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61605 (or 61578 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 104249859840 in words is "one hundred four billion, two hundred forty-nine million, eight hundred fifty-nine thousand, eight hundred forty".