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107463426048 = 2143211219317
BaseRepresentation
bin110010000010101010…
…0011100000000000000
3101021101022101200001200
41210011110130000000
53230041114113143
6121211254101200
710523021023056
oct1440524340000
9337338350050
10107463426048
1141636336600
12189b134a800
13a197b33484
1452b63721d6
152bde5951d3
hex190551c000

107463426048 has 540 divisors, whose sum is σ = 360320349480. Its totient is φ = 30753423360.

The previous prime is 107463426013. The next prime is 107463426053. The reversal of 107463426048 is 840624364701.

107463426048 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 6 + 34 + 2 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107463425994 and 107463426012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339001186 + ... + 339001502.

Almost surely, 2107463426048 is an apocalyptic number.

107463426048 is a gapful number since it is divisible by the number (18) 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 107463426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180160174740).

107463426048 is an abundant number, since it is smaller than the sum of its proper divisors (252856923432).

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

107463426048 is a wasteful number, since it uses less digits than its factorization.

107463426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 107463426048 in words is "one hundred seven billion, four hundred sixty-three million, four hundred twenty-six thousand, forty-eight".