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104553504000 = 2834531119193
BaseRepresentation
bin110000101011111011…
…1111101110100000000
3100222212111212022110000
41201113313331310000
53203111144112000
6120010424240000
710360635056241
oct1412767756400
9328774768400
10104553504000
1140382800050
121831a910000
139b22cca4ca
1450bbad6cc8
152abdd96000
hex1857dfdd00

104553504000 has 1440 divisors, whose sum is σ = 449100812160. Its totient is φ = 23887872000.

The previous prime is 104553503969. The next prime is 104553504017. The reversal of 104553504000 is 405355401.

104553504000 is a `hidden beast` number, since 104 + 5 + 53 + 504 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 541727904 + ... + 541728096.

It is an arithmetic number, because the mean of its divisors is an integer number (311875564).

Almost surely, 2104553504000 is an apocalyptic number.

104553504000 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 104553504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550406080).

104553504000 is an abundant number, since it is smaller than the sum of its proper divisors (344547308160).

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

104553504000 is a wasteful number, since it uses less digits than its factorization.

104553504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 104553504000 its reverse (405355401), we get a palindrome (104958859401).

The spelling of 104553504000 in words is "one hundred four billion, five hundred fifty-three million, five hundred four thousand".