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381451878126 = 23411271789883
BaseRepresentation
bin1011000110100000100…
…11011011111011101110
31100110121001000011010000
411203100103123323232
522222203140100001
6451123033325130
736362506315644
oct5432023337356
91313531004100
10381451878126
11137855705960
1261b175667a6
1329c809a73b7
1414668a55194
159dc836da86
hex58d04dbeee

381451878126 has 80 divisors (see below), whose sum is σ = 935879839488. Its totient is φ = 115164795600.

The previous prime is 381451878109. The next prime is 381451878257. The reversal of 381451878126 is 621878154183.

381451878126 is a `hidden beast` number, since 38 + 1 + 4 + 518 + 78 + 1 + 26 = 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 39 ways as a sum of consecutive naturals, for example, 87981 + ... + 877863.

Almost surely, 2381451878126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381451878126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467939919744).

381451878126 is an abundant number, since it is smaller than the sum of its proper divisors (554427961362).

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

381451878126 is a wasteful number, since it uses less digits than its factorization.

381451878126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790179 (or 790170 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 381451878126 in words is "three hundred eighty-one billion, four hundred fifty-one million, eight hundred seventy-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 271 297 542 594 813 891 1626 1782 2439 2981 4878 5962 7317 8943 14634 17886 21951 26829 43902 53658 80487 160974 241461 482922 789883 1579766 2369649 4739298 7108947 8688713 14217894 17377426 21326841 26066139 42653682 52132278 63980523 78198417 127961046 156396834 214058293 234595251 428116586 469190502 642174879 703785753 1284349758 1407571506 1926524637 2354641223 3853049274 4709282446 5779573911 7063923669 11559147822 14127847338 17338721733 21191771007 34677443466 42383542014 63575313021 127150626042 190725939063 381451878126