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5094714624 = 28371233401
BaseRepresentation
bin1001011111010101…
…10010110100000000
3111011001121022121020
410233222302310000
540413221331444
62201313225440
7240152234256
oct45752626400
914131538536
105094714624
11218491955a
12ba2262280
1363267174c
143648b85d6
151ec415119
hex12fab2d00

5094714624 has 144 divisors (see below), whose sum is σ = 13843799424. Its totient is φ = 1662976000.

The previous prime is 5094714589. The next prime is 5094714629. The reversal of 5094714624 is 4264174905.

It is a super-2 number, since 2×50947146242 = 51912234199998922752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5094714629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12704824 + ... + 12705224.

It is an arithmetic number, because the mean of its divisors is an integer number (96137496).

Almost surely, 25094714624 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 5094714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921899712).

5094714624 is an abundant number, since it is smaller than the sum of its proper divisors (8749084800).

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

5094714624 is a wasteful number, since it uses less digits than its factorization.

5094714624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5094714624 is about 71377.2696591849. The cubic root of 5094714624 is about 1720.7057929091.

The spelling of 5094714624 in words is "five billion, ninety-four million, seven hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 233 256 284 384 401 426 466 568 699 768 802 852 932 1136 1203 1398 1604 1704 1864 2272 2406 2796 3208 3408 3728 4544 4812 5592 6416 6816 7456 9088 9624 11184 12832 13632 14912 16543 18176 19248 22368 25664 27264 28471 29824 33086 38496 44736 49629 51328 54528 56942 59648 66172 76992 85413 89472 93433 99258 102656 113884 132344 153984 170826 178944 186866 198516 227768 264688 280299 307968 341652 373732 397032 455536 529376 560598 683304 747464 794064 911072 1058752 1121196 1366608 1494928 1588128 1822144 2117504 2242392 2733216 2989856 3176256 3644288 4235008 4484784 5466432 5979712 6352512 6633743 7288576 8969568 10932864 11959424 12705024 13267486 17939136 19901229 21865728 23918848 26534972 35878272 39802458 53069944 71756544 79604916 106139888 159209832 212279776 318419664 424559552 636839328 849119104 1273678656 1698238208 2547357312 5094714624