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104445202400 = 25527118919051
BaseRepresentation
bin110000101000101101…
…0110100111111100000
3100222120222002000120122
41201101122310333200
53202400432434100
6115551555055412
710355151400160
oct1412132647740
9328528060518
10104445202400
11403276594a0
12182aa5a1568
139b0673b216
1450ab5845a0
152ab4601985
hex18516b4fe0

104445202400 has 288 divisors, whose sum is σ = 321481923840. Its totient is φ = 32186880000.

The previous prime is 104445202397. The next prime is 104445202427. The reversal of 104445202400 is 4202544401.

It is a self number, because there is not a number n which added to its sum of digits gives 104445202400.

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, 5472875 + ... + 5491925.

It is an arithmetic number, because the mean of its divisors is an integer number (1116256680).

Almost surely, 2104445202400 is an apocalyptic number.

104445202400 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 104445202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160740961920).

104445202400 is an abundant number, since it is smaller than the sum of its proper divisors (217036721440).

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

104445202400 is a wasteful number, since it uses less digits than its factorization.

104445202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19178 (or 19165 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 104445202400 its reverse (4202544401), we get a palindrome (108647746801).

The spelling of 104445202400 in words is "one hundred four billion, four hundred forty-five million, two hundred two thousand, four hundred".