Search a number
-
+
104057710400 = 2652719488993
BaseRepresentation
bin110000011101001010…
…0101010011101000000
3100221120221221101111002
41200322110222131000
53201102233213100
6115445313511132
710342434641660
oct1407224523500
9327527841432
10104057710400
1140148956a76
12182008724a8
139a74388c07
145071d181a0
152a905ae2d5
hex183a52a740

104057710400 has 168 divisors, whose sum is σ = 308027100480. Its totient is φ = 33799127040.

The previous prime is 104057710331. The next prime is 104057710409. The reversal of 104057710400 is 4017750401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104057710409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31697 + ... + 457296.

Almost surely, 2104057710400 is an apocalyptic number.

104057710400 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 104057710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154013550240).

104057710400 is an abundant number, since it is smaller than the sum of its proper divisors (203969390080).

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

104057710400 is a wasteful number, since it uses less digits than its factorization.

104057710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489041 (or 489026 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The spelling of 104057710400 in words is "one hundred four billion, fifty-seven million, seven hundred ten thousand, four hundred".