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3830986512 = 243237838663
BaseRepresentation
bin1110010001011000…
…0011011100010000
3100212222200021112100
43210112003130100
530321213032022
61432051200400
7163635563613
oct34426033420
910788607470
103830986512
111696545961
128aaba6100
134908c6432
14284b1a17a
151764dc1ac
hexe4583710

3830986512 has 120 divisors (see below), whose sum is σ = 11145161664. Its totient is φ = 1227370752.

The previous prime is 3830986493. The next prime is 3830986517. The reversal of 3830986512 is 2156890383.

It is a happy number.

It is a super-2 number, since 2×38309865122 = 29352915310251852288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3830986517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437893 + ... + 446555.

Almost surely, 23830986512 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 3830986512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572580832).

3830986512 is an abundant number, since it is smaller than the sum of its proper divisors (7314175152).

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

3830986512 is a wasteful number, since it uses less digits than its factorization.

3830986512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3830986512 is about 61894.9635430864. The cubic root of 3830986512 is about 1564.7208669694.

The spelling of 3830986512 in words is "three billion, eight hundred thirty million, nine hundred eighty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 83 111 144 148 166 222 249 296 332 333 444 498 592 664 666 747 888 996 1328 1332 1494 1776 1992 2664 2988 3071 3984 5328 5976 6142 8663 9213 11952 12284 17326 18426 24568 25989 27639 34652 36852 49136 51978 55278 69304 73704 77967 103956 110556 138608 147408 155934 207912 221112 311868 320531 415824 442224 623736 641062 719029 961593 1247472 1282124 1438058 1923186 2157087 2564248 2876116 2884779 3846372 4314174 5128496 5752232 5769558 6471261 7692744 8628348 11504464 11539116 12942522 15385488 17256696 23078232 25885044 26604073 34513392 46156464 51770088 53208146 79812219 103540176 106416292 159624438 212832584 239436657 319248876 425665168 478873314 638497752 957746628 1276995504 1915493256 3830986512