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45834491760 = 2435792417431
BaseRepresentation
bin101010101011111100…
…101101011101110000
311101022021200102112220
4222223330231131300
51222332112214020
633020040121040
73211551515601
oct525374553560
9141267612486
1045834491760
1118490415062
128a71a66180
134425a7c655
14230b415da8
1512d3d2a240
hexaabf2d770

45834491760 has 80 divisors (see below), whose sum is σ = 143885552640. Its totient is φ = 12067810560.

The previous prime is 45834491737. The next prime is 45834491767. The reversal of 45834491760 is 6719443854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45834491767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189756 + ... + 1227675.

It is an arithmetic number, because the mean of its divisors is an integer number (1798569408).

Almost surely, 245834491760 is an apocalyptic number.

45834491760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45834491760 is an abundant number, since it is smaller than the sum of its proper divisors (98051060880).

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

45834491760 is a wasteful number, since it uses less digits than its factorization.

45834491760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417526 (or 2417520 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 45834491760 in words is "forty-five billion, eight hundred thirty-four million, four hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 2417431 4834862 7252293 9669724 12087155 14504586 19339448 24174310 29009172 36261465 38678896 48348620 58018344 72522930 96697240 116036688 145045860 190977049 193394480 290091720 381954098 572931147 580183440 763908196 954885245 1145862294 1527816392 1909770490 2291724588 2864655735 3055632784 3819540980 4583449176 5729311470 7639081960 9166898352 11458622940 15278163920 22917245880 45834491760