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107482787400 = 233523741263449
BaseRepresentation
bin110010000011001111…
…0010010111001001000
3101021102122211022211210
41210012132102321020
53230111043144100
6121213225053120
710523344422132
oct1440636227110
9337378738753
10107482787400
114164626001a
12189b79271a0
13a19bb51cb1
1452b8b72052
152be111bc50
hex1906792e48

107482787400 has 384 divisors, whose sum is σ = 352664928000. Its totient is φ = 27043430400.

The previous prime is 107482787353. The next prime is 107482787429. The reversal of 107482787400 is 4787284701.

It is a self number, because there is not a number n which added to its sum of digits gives 107482787400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239382376 + ... + 239382824.

It is an arithmetic number, because the mean of its divisors is an integer number (918398250).

Almost surely, 2107482787400 is an apocalyptic number.

107482787400 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 107482787400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464000).

107482787400 is an abundant number, since it is smaller than the sum of its proper divisors (245182140600).

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

107482787400 is a wasteful number, since it uses less digits than its factorization.

107482787400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 107482787400 in words is "one hundred seven billion, four hundred eighty-two million, seven hundred eighty-seven thousand, four hundred".