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381276135774 = 23359638918731
BaseRepresentation
bin1011000110001011101…
…01000010000101011110
31100110010210022111221000
411203011311002011132
522221323142321044
6451053354451130
736355243452402
oct5430565020536
91313123274830
10381276135774
11137775491046
1261a88733aa6
1329c53464441
141464d589102
159db7c06d69
hex58c5d4215e

381276135774 has 64 divisors (see below), whose sum is σ = 861821856000. Its totient is φ = 124911718560.

The previous prime is 381276135769. The next prime is 381276135809. The reversal of 381276135774 is 477531672183.

381276135774 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 7 + 61 + 3 + 577 + 4 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 381276135774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20345989 + ... + 20364719.

It is an arithmetic number, because the mean of its divisors is an integer number (13465966500).

Almost surely, 2381276135774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381276135774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430910928000).

381276135774 is an abundant number, since it is smaller than the sum of its proper divisors (480545720226).

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

381276135774 is a wasteful number, since it uses less digits than its factorization.

381276135774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25190 (or 25184 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 381276135774 in words is "three hundred eighty-one billion, two hundred seventy-six million, one hundred thirty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 6389 12778 18731 19167 37462 38334 56193 57501 112386 115002 168579 172503 337158 345006 376951 505737 753902 1011474 1105129 1130853 2210258 2261706 3315387 3392559 6630774 6785118 9946161 10177677 19892322 20355354 29838483 59676966 119672359 239344718 359017077 718034154 1077051231 2154102462 3231153693 6462307386 7060669181 14121338362 21182007543 42364015086 63546022629 127092045258 190638067887 381276135774