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45683539824 = 24313791277297
BaseRepresentation
bin101010100010111100…
…110111111101110000
311100220202122021102110
4222202330313331300
51222024441233244
632553044445320
73205036452516
oct524274677560
9140822567373
1045683539824
111841319269a
128a2b3a9840
134400709390
1422d53604b6
1512c595d9b9
hexaa2f37f70

45683539824 has 160 divisors (see below), whose sum is σ = 129733918720. Its totient is φ = 13767376896.

The previous prime is 45683539819. The next prime is 45683539859. The reversal of 45683539824 is 42893538654.

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, 6256944 + ... + 6264240.

It is an arithmetic number, because the mean of its divisors is an integer number (810836992).

Almost surely, 245683539824 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 45683539824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64866959360).

45683539824 is an abundant number, since it is smaller than the sum of its proper divisors (84050378896).

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

45683539824 is a wasteful number, since it uses less digits than its factorization.

45683539824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7521 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 45683539824 in words is "forty-five billion, six hundred eighty-three million, five hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 127 156 158 208 237 254 312 316 381 474 508 624 632 762 948 1016 1027 1264 1524 1651 1896 2032 2054 3048 3081 3302 3792 4108 4953 6096 6162 6604 7297 8216 9906 10033 12324 13208 14594 16432 19812 20066 21891 24648 26416 29188 30099 39624 40132 43782 49296 58376 60198 79248 80264 87564 94861 116752 120396 130429 160528 175128 189722 240792 260858 284583 350256 379444 391287 481584 521716 569166 576463 758888 782574 926719 1043432 1138332 1152926 1517776 1565148 1729389 1853438 2086864 2276664 2305852 2780157 3130296 3458778 3706876 4553328 4611704 5560314 6260592 6917556 7413752 7494019 9223408 11120628 12047347 13835112 14827504 14988038 22241256 22482057 24094694 27670224 29976076 36142041 44482512 44964114 48189388 59952152 72284082 73210801 89928228 96378776 119904304 144568164 146421602 179856456 192757552 219632403 289136328 292843204 359712912 439264806 578272656 585686408 878529612 951740413 1171372816 1757059224 1903480826 2855221239 3514118448 3806961652 5710442478 7613923304 11420884956 15227846608 22841769912 45683539824