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104362131456 = 21435112383
BaseRepresentation
bin110000100110001110…
…1111100000000000000
3100222101011202120200000
41201030131330000000
53202213201201311
6115535430400000
710353122323632
oct1411435740000
9328334676600
10104362131456
1140294780020
1218286800000
139ac247410b
1450a051ca52
152aac193056
hex184c77c000

104362131456 has 360 divisors, whose sum is σ = 341212994304. Its totient is φ = 31611617280.

The previous prime is 104362131449. The next prime is 104362131469. The reversal of 104362131456 is 654131263401.

104362131456 is a `hidden beast` number, since 1 + 0 + 436 + 213 + 1 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104362131456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43793241 + ... + 43795623.

Almost surely, 2104362131456 is an apocalyptic number.

104362131456 is a gapful number since it is divisible by the number (16) 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 104362131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170606497152).

104362131456 is an abundant number, since it is smaller than the sum of its proper divisors (236850862848).

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

104362131456 is an frugal number, since it uses more digits than its factorization.

104362131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 104362131456 its reverse (654131263401), we get a palindrome (758493394857).

The spelling of 104362131456 in words is "one hundred four billion, three hundred sixty-two million, one hundred thirty-one thousand, four hundred fifty-six".