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45064290320 = 2457241133377
BaseRepresentation
bin101001111110000010…
…101000000000010000
311022022121102010210122
4221332002220000100
51214242424242240
632411404045412
73153510101420
oct517602500020
9138277363718
1045064290320
1118125687345
128897b33868
134332330b5a
142277006480
15128b3dc4b5
hexa7e0a8010

45064290320 has 80 divisors (see below), whose sum is σ = 119795511168. Its totient is φ = 15443742720.

The previous prime is 45064290317. The next prime is 45064290343. The reversal of 45064290320 is 2309246054.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333472 + ... + 1366848.

Almost surely, 245064290320 is an apocalyptic number.

45064290320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45064290320 is an abundant number, since it is smaller than the sum of its proper divisors (74731220848).

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

45064290320 is a wasteful number, since it uses less digits than its factorization.

45064290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35808 (or 35802 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 45064290320 in words is "forty-five billion, sixty-four million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2411 4822 9644 12055 16877 19288 24110 33377 33754 38576 48220 66754 67508 84385 96440 133508 135016 166885 168770 192880 233639 267016 270032 333770 337540 467278 534032 667540 675080 934556 1168195 1335080 1350160 1869112 2336390 2670160 3738224 4672780 9345560 18691120 80471947 160943894 321887788 402359735 563303629 643775576 804719470 1126607258 1287551152 1609438940 2253214516 2816518145 3218877880 4506429032 5633036290 6437755760 9012858064 11266072580 22532145160 45064290320