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104977296004 = 2272231432
BaseRepresentation
bin110000111000100100…
…0100110101010000100
3101000222001022011210011
41201301020212222010
53204443141433004
6120120443440004
710404302202400
oct1416110465204
9330861264704
10104977296004
114057aa46279
1218418826004
139b8ca4c1c9
14511c0d2100
152ae61a9004
hex1871226a84

104977296004 has 27 divisors (see below), whose sum is σ = 213713015607. Its totient is φ = 44988325704.

The previous prime is 104977295993. The next prime is 104977296007. The reversal of 104977296004 is 400692779401.

The square root of 104977296004 is 324002.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1049772960042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (104977296007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4524457 + ... + 4547599.

Almost surely, 2104977296004 is an apocalyptic number.

104977296004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104977296004 is the 324002-nd square number.

It is an amenable number.

104977296004 is an abundant number, since it is smaller than the sum of its proper divisors (108735719603).

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

104977296004 is an frugal number, since it uses more digits than its factorization.

104977296004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46304 (or 23152 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 104977296004 by its sum of digits (49), we get a square (5143887504196 = 22680142).

104977296004 divided by its sum of digits (49) gives a square (2142393796 = 462862).

The spelling of 104977296004 in words is "one hundred four billion, nine hundred seventy-seven million, two hundred ninety-six thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 23143 46286 92572 162001 324002 648004 1134007 2268014 4536028 535598449 1071196898 2142393796 3749189143 7498378286 14996756572 26244324001 52488648002 104977296004