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1053748683 = 341319311699
BaseRepresentation
bin111110110011101…
…110110111001011
32201102210222110000
4332303232313023
54124224424213
6252321254043
735053500411
oct7663566713
92642728400
101053748683
114a08a4a89
12254a94323
1313a408940
149dd3d2b1
156279bc73
hex3eceedcb

1053748683 has 80 divisors (see below), whose sum is σ = 1843072000. Its totient is φ = 594164160.

The previous prime is 1053748651. The next prime is 1053748693. The reversal of 1053748683 is 3868473501.

1053748683 is a `hidden beast` number, since 10 + 537 + 48 + 68 + 3 = 666.

It is not a de Polignac number, because 1053748683 - 25 = 1053748651 is a prime.

It is a super-2 number, since 2×10537486832 = 2220772573848468978, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053748643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 619368 + ... + 621066.

It is an arithmetic number, because the mean of its divisors is an integer number (23038400).

Almost surely, 21053748683 is an apocalyptic number.

1053748683 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1053748683 is a deficient number, since it is larger than the sum of its proper divisors (789323317).

1053748683 is a wasteful number, since it uses less digits than its factorization.

1053748683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1053748683 is about 32461.4953906933. The cubic root of 1053748683 is about 1017.6044909161.

The spelling of 1053748683 in words is "one billion, fifty-three million, seven hundred forty-eight thousand, six hundred eighty-three".

Divisors: 1 3 9 13 19 27 31 39 57 81 93 117 171 247 279 351 403 513 589 741 837 1053 1209 1539 1699 1767 2223 2511 3627 5097 5301 6669 7657 10881 15291 15903 20007 22087 22971 32281 32643 45873 47709 52669 66261 68913 96843 137619 158007 198783 206739 290529 419653 474021 596349 620217 684697 871587 1000711 1258959 1422063 1789047 2054091 2614761 3002133 3776877 4266189 6162273 9006399 11330631 13009243 18486819 27019197 33991893 39027729 55460457 81057591 117083187 351249561 1053748683