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10428374813760 = 263256167885971
BaseRepresentation
bin1001011111000000101110…
…0100111000110001000000
31100220221110101000111210100
42113300023210320301000
52331324302423020020
634102421304002400
72124265564235001
oct227601344706100
940827411014710
1010428374813760
113360715795a22
121205109760400
135a8512247c97
14280a4396b1a8
151313ec93da90
hex97c0b938c40

10428374813760 has 336 divisors, whose sum is σ = 37001465272512. Its totient is φ = 2694482841600.

The previous prime is 10428374813749. The next prime is 10428374813797. The reversal of 10428374813760 is 6731847382401.

10428374813760 is a `hidden beast` number, since 1 + 0 + 42 + 8 + 37 + 481 + 37 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10428374813697 and 10428374813706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11327575 + ... + 12213545.

Almost surely, 210428374813760 is an apocalyptic number.

10428374813760 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 10428374813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500732636256).

10428374813760 is an abundant number, since it is smaller than the sum of its proper divisors (26573090458752).

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

10428374813760 is a wasteful number, since it uses less digits than its factorization.

10428374813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886122 (or 886109 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10428374813760 in words is "ten trillion, four hundred twenty-eight billion, three hundred seventy-four million, eight hundred thirteen thousand, seven hundred sixty".