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104454253200 = 243521129353773
BaseRepresentation
bin110000101000111110…
…1010110101010010000
3100222121121002211221110
41201101331112222100
53202410242100300
6115552521053320
710355321334303
oct1412175265220
9328547084843
10104454253200
11403317804a0
12182b1627240
139b08589a1b
1450ac85cb3a
152ab52dd550
hex1851f56a90

104454253200 has 480 divisors, whose sum is σ = 379166624640. Its totient is φ = 24348262400.

The previous prime is 104454253129. The next prime is 104454253219. The reversal of 104454253200 is 2352454401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 135128014 + ... + 135128786.

It is an arithmetic number, because the mean of its divisors is an integer number (789930468).

Almost surely, 2104454253200 is an apocalyptic number.

104454253200 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 104454253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189583312320).

104454253200 is an abundant number, since it is smaller than the sum of its proper divisors (274712371440).

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

104454253200 is a wasteful number, since it uses less digits than its factorization.

104454253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 104454253200 in words is "one hundred four billion, four hundred fifty-four million, two hundred fifty-three thousand, two hundred".