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10026312670374 = 237211131811317587
BaseRepresentation
bin1001000111100110111011…
…0011100001110010100110
31022111111122222011101212120
42101321232303201302212
52303232342020422444
633154005140530410
72053243242350100
oct221715663416246
938444588141776
1010026312670374
1132161541317a0
12115b1bb9b0a06
13579628614b70
142693c1974570
15125c19ea9b19
hex91e6ece1ca6

10026312670374 has 192 divisors, whose sum is σ = 27556014350592. Its totient is φ = 2390628038400.

The previous prime is 10026312670331. The next prime is 10026312670391. The reversal of 10026312670374 is 47307621362001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6950809 + ... + 8268395.

It is an arithmetic number, because the mean of its divisors is an integer number (143520908076).

Almost surely, 210026312670374 is an apocalyptic number.

10026312670374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026312670374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778007175296).

10026312670374 is an abundant number, since it is smaller than the sum of its proper divisors (17529701680218).

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

10026312670374 is a wasteful number, since it uses less digits than its factorization.

10026312670374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317811 (or 1317804 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 10026312670374 in words is "ten trillion, twenty-six billion, three hundred twelve million, six hundred seventy thousand, three hundred seventy-four".