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783828046540 = 225711246270841
BaseRepresentation
bin10110110011111111100…
…10101101001011001100
32202221012022202101101101
423121333302231023030
5100320234434442130
61400030255152444
7110425663315450
oct13317762551314
92687168671341
10783828046540
11282468552800
12107ab2515724
1358bb76a8c46
1429d1a632660
15155c86821ca
hexb67fcad2cc

783828046540 has 72 divisors (see below), whose sum is σ = 2067751387296. Its totient is φ = 244310035200.

The previous prime is 783828046523. The next prime is 783828046543. The reversal of 783828046540 is 45640828387.

It is a super-2 number, since 2×7838280465402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (783828046543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23118481 + ... + 23152360.

It is an arithmetic number, because the mean of its divisors is an integer number (28718769268).

Almost surely, 2783828046540 is an apocalyptic number.

783828046540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

783828046540 is an abundant number, since it is smaller than the sum of its proper divisors (1283923340756).

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

783828046540 is a wasteful number, since it uses less digits than its factorization.

783828046540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46270879 (or 46270866 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 783828046540 in words is "seven hundred eighty-three billion, eight hundred twenty-eight million, forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 46270841 92541682 185083364 231354205 323895887 462708410 508979251 647791774 925416820 1017958502 1295583548 1619479435 2035917004 2544896255 3238958870 3562854757 5089792510 5598771761 6477917740 7125709514 10179585020 11197543522 14251419028 17814273785 22395087044 27993858805 35628547570 39191402327 55987717610 71257095140 78382804654 111975435220 156765609308 195957011635 391914023270 783828046540