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7449020964 = 22327211383891
BaseRepresentation
bin1101110111111111…
…10000101000100100
3201020010122110202100
412323333300220210
5110223422132324
63231054212100
7352410430200
oct67377605044
921203573670
107449020964
113182861780
12153a7b4030
1391934c118
14509441b00
152d8e624c9
hex1bbff0a24

7449020964 has 108 divisors (see below), whose sum is σ = 23894973648. Its totient is φ = 1934805600.

The previous prime is 7449020963. The next prime is 7449020993. The reversal of 7449020964 is 4690209447.

7449020964 is a `hidden beast` number, since 74 + 490 + 2 + 0 + 96 + 4 = 666.

It is a super-2 number, since 2×74490209642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7449020963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172542 + ... + 211349.

It is an arithmetic number, because the mean of its divisors is an integer number (221249756).

Almost surely, 27449020964 is an apocalyptic number.

It is an amenable number.

7449020964 is an abundant number, since it is smaller than the sum of its proper divisors (16445952684).

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

7449020964 is a wasteful number, since it uses less digits than its factorization.

7449020964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383926 (or 383914 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7449020964 is about 86307.7109185500. The cubic root of 7449020964 is about 1952.9887076851.

The spelling of 7449020964 in words is "seven billion, four hundred forty-nine million, twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 383891 767782 1151673 1535564 2303346 2687237 3455019 4222801 4606692 5374474 6910038 8061711 8445602 10748948 12668403 13820076 16123422 16891204 18810659 24185133 25336806 29559607 32246844 37621318 38005209 48370266 50673612 56431977 59119214 75242636 76010418 88678821 96740532 112863954 118238428 152020836 169295931 177357642 206917249 225727908 266036463 338591862 354715284 413834498 532072926 620751747 677183724 827668996 1064145852 1241503494 1862255241 2483006988 3724510482 7449020964