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10426621762368 = 263373175917539
BaseRepresentation
bin1001011110111010001100…
…0101100001101101000000
31100220202221012100021101000
42113232203011201231000
52331312210132343433
634101531322012000
72124204256446000
oct227564305415500
940822835307330
1010426621762368
11335a9a6188519
1212048ba647000
135a82c2cb5476
14280918bd6000
15131348aab113
hex97ba3161b40

10426621762368 has 896 divisors, whose sum is σ = 38492582400000. Its totient is φ = 2756118306816.

The previous prime is 10426621762357. The next prime is 10426621762429. The reversal of 10426621762368 is 86326712662401.

10426621762368 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 6 + 2 + 1 + 7 + 623 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 594473343 + ... + 594490881.

Almost surely, 210426621762368 is an apocalyptic number.

10426621762368 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 10426621762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19246291200000).

10426621762368 is an abundant number, since it is smaller than the sum of its proper divisors (28065960637632).

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

10426621762368 is a wasteful number, since it uses less digits than its factorization.

10426621762368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17657 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10426621762368 in words is "ten trillion, four hundred twenty-six billion, six hundred twenty-one million, seven hundred sixty-two thousand, three hundred sixty-eight".