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45288480972 = 2237677796379
BaseRepresentation
bin101010001011011001…
…110110000011001100
311022220020021012120010
4222023121312003030
51220222322342342
632445533153220
73162201510450
oct521331660314
9138806235503
1045288480972
1118230192079
12893b02b810
134369907b47
142298ac4660
1512a0e2429c
hexa8b6760cc

45288480972 has 48 divisors (see below), whose sum is σ = 120947823360. Its totient is φ = 12920436672.

The previous prime is 45288480961. The next prime is 45288481009. The reversal of 45288480972 is 27908488254.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341322 + ... + 455057.

It is an arithmetic number, because the mean of its divisors is an integer number (2519746320).

Almost surely, 245288480972 is an apocalyptic number.

45288480972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45288480972 is an abundant number, since it is smaller than the sum of its proper divisors (75659342388).

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

45288480972 is a wasteful number, since it uses less digits than its factorization.

45288480972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797070 (or 797068 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 45288480972 in words is "forty-five billion, two hundred eighty-eight million, four hundred eighty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 677 1354 2031 2708 4062 4739 8124 9478 14217 18956 28434 56868 796379 1592758 2389137 3185516 4778274 5574653 9556548 11149306 16723959 22298612 33447918 66895836 539148583 1078297166 1617445749 2156594332 3234891498 3774040081 6469782996 7548080162 11322120243 15096160324 22644240486 45288480972