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381152998460 = 225134366151577
BaseRepresentation
bin1011000101111100111…
…11010011010000111100
31100102211012121111021202
411202332133103100330
522221100131422320
6451033235315032
736352220013443
oct5427637232074
91312735544252
10381152998460
11137711a27173
1261a5344ba78
1329c33aac520
141463b093d5a
159dabed1b75
hex58be7d343c

381152998460 has 96 divisors (see below), whose sum is σ = 883390022592. Its totient is φ = 137249925120.

The previous prime is 381152998397. The next prime is 381152998463. The reversal of 381152998460 is 64899251183.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 381152998396 and 381152998405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381152998463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7364192 + ... + 7415768.

It is an arithmetic number, because the mean of its divisors is an integer number (9201979402).

Almost surely, 2381152998460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381152998460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441695011296).

381152998460 is an abundant number, since it is smaller than the sum of its proper divisors (502237024132).

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

381152998460 is a wasteful number, since it uses less digits than its factorization.

381152998460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52303 (or 52301 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 381152998460 in words is "three hundred eighty-one billion, one hundred fifty-two million, nine hundred ninety-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 661 860 1118 1322 2236 2644 2795 3305 5590 6610 8593 11180 13220 17186 28423 34372 42965 51577 56846 85930 103154 113692 142115 171860 206308 257885 284230 369499 515770 568460 670501 738998 1031540 1341002 1477996 1847495 2217811 2682004 3352505 3694990 4435622 6705010 7389980 8871244 11089055 13410020 22178110 28831543 34092397 44356220 57663086 68184794 115326172 136369588 144157715 170461985 288315430 340923970 443201161 576630860 681847940 886402322 1465973071 1772804644 2216005805 2931946142 4432011610 5863892284 7329865355 8864023220 14659730710 19057649923 29319461420 38115299846 76230599692 95288249615 190576499230 381152998460