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5945316024 = 23317127179641
BaseRepresentation
bin1011000100101111…
…00101001010111000
3120100100011100100210
411202113211022320
544134000103044
62421540431120
7300221231604
oct54227451270
916310140323
105945316024
112580a80a1a
12119b0a84a0
1373996069b
14405856504
1524be351b9
hex1625e52b8

5945316024 has 128 divisors (see below), whose sum is σ = 15975014400. Its totient is φ = 1837301760.

The previous prime is 5945315989. The next prime is 5945316037. The reversal of 5945316024 is 4206135495.

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, 9274744 + ... + 9275384.

It is an arithmetic number, because the mean of its divisors is an integer number (124804800).

Almost surely, 25945316024 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 5945316024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987507200).

5945316024 is an abundant number, since it is smaller than the sum of its proper divisors (10029698376).

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

5945316024 is a wasteful number, since it uses less digits than its factorization.

5945316024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5945316024 is about 77105.8754181547. The cubic root of 5945316024 is about 1811.5833264594.

The spelling of 5945316024 in words is "five billion, nine hundred forty-five million, three hundred sixteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 179 204 254 358 381 408 508 537 641 716 762 1016 1074 1282 1432 1524 1923 2148 2159 2564 3043 3048 3846 4296 4318 5128 6086 6477 7692 8636 9129 10897 12172 12954 15384 17272 18258 21794 22733 24344 25908 32691 36516 43588 45466 51816 65382 68199 73032 81407 87176 90932 114739 130764 136398 162814 181864 229478 244221 261528 272796 325628 344217 386461 458956 488442 545592 651256 688434 772922 917912 976884 1159383 1376868 1383919 1545844 1950563 1953768 2318766 2753736 2767838 3091688 3901126 4151757 4637532 5535676 5851689 7802252 8303514 9275064 11071352 11703378 14571853 15604504 16607028 23406756 29143706 33214056 43715559 46813512 58287412 87431118 116574824 174862236 247721501 349724472 495443002 743164503 990886004 1486329006 1981772008 2972658012 5945316024