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104046640400 = 24521491745749
BaseRepresentation
bin110000011100110101…
…0011011110100010000
3100221120012002222022002
41200321222123310100
53201041414443100
6115444240333132
710342241564633
oct1407152336420
9327505088262
10104046640400
1140142685a0a
12181b90141a8
139a71cb1311
145070675c1a
152a8e6242d5
hex1839a9bd10

104046640400 has 60 divisors (see below), whose sum is σ = 251649862500. Its totient is φ = 41339312640.

The previous prime is 104046640367. The next prime is 104046640403. The reversal of 104046640400 is 4046640401.

It can be written as a sum of positive squares in 6 ways, for example, as 33228914944 + 70817725456 = 182288^2 + 266116^2 .

It is not an unprimeable number, because it can be changed into a prime (104046640403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813275 + ... + 932474.

It is an arithmetic number, because the mean of its divisors is an integer number (4194164375).

Almost surely, 2104046640400 is an apocalyptic number.

104046640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104046640400 is an abundant number, since it is smaller than the sum of its proper divisors (147603222100).

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

104046640400 is a wasteful number, since it uses less digits than its factorization.

104046640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745916 (or 1745905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Subtracting from 104046640400 its reverse (4046640401), we obtain a palindrome (99999999999).

The spelling of 104046640400 in words is "one hundred four billion, forty-six million, six hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 1745749 3491498 6982996 8728745 13965992 17457490 27931984 34914980 43643725 69829960 87287450 139659920 174574900 260116601 349149800 520233202 698299600 1040466404 1300583005 2080932808 2601166010 4161865616 5202332020 6502915025 10404664040 13005830050 20809328080 26011660100 52023320200 104046640400