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107844452352 = 214347131947
BaseRepresentation
bin110010001110000000…
…1111100000000000000
3101022100212100210220000
41210130001330000000
53231331134433402
6121313144520000
710535325501660
oct1443401740000
9338325323800
10107844452352
114181142227a
1218a98a80000
13a228a60820
145310bd81a0
152c12c5bc1c
hex191c07c000

107844452352 has 1200 divisors, whose sum is σ = 426296048640. Its totient is φ = 26372210688.

The previous prime is 107844452347. The next prime is 107844452383. The reversal of 107844452352 is 253254448701.

107844452352 is a `hidden beast` number, since 1 + 0 + 7 + 84 + 44 + 523 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107844452298 and 107844452307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2294562793 + ... + 2294562839.

Almost surely, 2107844452352 is an apocalyptic number.

107844452352 is a gapful number since it is divisible by the number (12) 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 107844452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213148024320).

107844452352 is an abundant number, since it is smaller than the sum of its proper divisors (318451596288).

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

107844452352 is an equidigital number, since it uses as much as digits as its factorization.

107844452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 107844452352 in words is "one hundred seven billion, eight hundred forty-four million, four hundred fifty-two thousand, three hundred fifty-two".