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45645133460 = 22523314497129
BaseRepresentation
bin101010100000101010…
…010111011010010100
311100211002101000210112
4222200222113122110
51221440123232320
632545153342152
73204062142563
oct524052273224
9140732330715
1045645133460
11183a35403a3
128a1a567958
1343c5780014
1422d0203bda
1512c23c3ec5
hexaa0a97694

45645133460 has 96 divisors (see below), whose sum is σ = 103493376000. Its totient is φ = 16860856320.

The previous prime is 45645133439. The next prime is 45645133477. The reversal of 45645133460 is 6433154654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6399176 + ... + 6406304.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056000).

Almost surely, 245645133460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51746688000).

45645133460 is an abundant number, since it is smaller than the sum of its proper divisors (57848242540).

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

45645133460 is a wasteful number, since it uses less digits than its factorization.

45645133460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 45645133460 in words is "forty-five billion, six hundred forty-five million, one hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 449 460 620 713 898 1426 1796 2245 2852 3565 4490 7129 7130 8980 10327 13919 14258 14260 20654 27838 28516 35645 41308 51635 55676 69595 71290 103270 139190 142580 163967 206540 220999 278380 320137 327934 441998 640274 655868 819835 883996 1104995 1280548 1600685 1639670 2209990 3200921 3201370 3279340 4419980 5082977 6401842 6402740 10165954 12803684 16004605 20331908 25414885 32009210 50829770 64018420 73621183 99228551 101659540 147242366 198457102 294484732 368105915 396914204 496142755 736211830 992285510 1472423660 1984571020 2282256673 4564513346 9129026692 11411283365 22822566730 45645133460