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45628534944 = 2532315110723
BaseRepresentation
bin101010011111101011…
…000011000010100000
311100202221010201220200
4222133223003002200
51221421401104234
632543401505200
73203501101446
oct523753030240
9140687121820
1045628534944
1118395133713
128a14aa2200
1343c21bac05
1422cbd22b96
1512c0be5d99
hexa9fac30a0

45628534944 has 72 divisors (see below), whose sum is σ = 133941854592. Its totient is φ = 14718879360.

The previous prime is 45628534943. The next prime is 45628534993. The reversal of 45628534944 is 44943582654.

45628534944 is a `hidden beast` number, since 4 + 5 + 62 + 8 + 534 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×456285349442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45628534943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2546434 + ... + 2564289.

It is an arithmetic number, because the mean of its divisors is an integer number (1860303536).

Almost surely, 245628534944 is an apocalyptic number.

It is an amenable number.

45628534944 is an abundant number, since it is smaller than the sum of its proper divisors (88313319648).

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

45628534944 is a wasteful number, since it uses less digits than its factorization.

45628534944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110770 (or 5110759 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 45628534944 in words is "forty-five billion, six hundred twenty-eight million, five hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 5110723 10221446 15332169 20442892 30664338 40885784 45996507 61328676 81771568 91993014 122657352 158432413 163543136 183986028 245314704 316864826 367972056 475297239 490629408 633729652 735944112 950594478 1267459304 1425891717 1471888224 1901188956 2534918608 2851783434 3802377912 5069837216 5703566868 7604755824 11407133736 15209511648 22814267472 45628534944