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5073000624 = 2433293071319
BaseRepresentation
bin1001011100101111…
…11101100010110000
3111002112202010121000
410232113331202300
540342142004444
62155220002000
7236466536166
oct45627754260
914075663530
105073000624
1121736384aa
12b96b30300
1362b00b123
14361a65236
151ea576469
hex12e5fd8b0

5073000624 has 160 divisors (see below), whose sum is σ = 15124032000. Its totient is φ = 1626137856.

The previous prime is 5073000577. The next prime is 5073000631. The reversal of 5073000624 is 4260003705.

It is a happy number.

5073000624 is a `hidden beast` number, since 5 + 0 + 7 + 30 + 0 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 712252-1.

It is a super-2 number, since 2×50730006242 = 51470670662208778752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3845437 + ... + 3846755.

It is an arithmetic number, because the mean of its divisors is an integer number (94525200).

Almost surely, 25073000624 is an apocalyptic number.

5073000624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5073000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016000).

5073000624 is an abundant number, since it is smaller than the sum of its proper divisors (10051031376).

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

5073000624 is a wasteful number, since it uses less digits than its factorization.

5073000624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5073000624 is about 71224.9999929800. Note that the first 5 decimals coincide. The cubic root of 5073000624 is about 1718.2577255729.

The spelling of 5073000624 in words is "five billion, seventy-three million, six hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 307 348 432 464 522 614 696 783 921 1044 1228 1319 1392 1566 1842 2088 2456 2638 2763 3132 3684 3957 4176 4912 5276 5526 6264 7368 7914 8289 8903 10552 11052 11871 12528 14736 15828 16578 17806 21104 22104 23742 26709 31656 33156 35612 35613 38251 44208 47484 53418 63312 66312 71224 71226 76502 80127 94968 106836 114753 132624 142448 142452 153004 160254 189936 213672 229506 240381 284904 306008 320508 344259 404933 427344 459012 480762 569808 612016 641016 688518 809866 918024 961524 1032777 1214799 1282032 1377036 1619732 1836048 1923048 2065554 2429598 2754072 3239464 3644397 3846096 4131108 4859196 5508144 6478928 7288794 8262216 9718392 10933191 11743057 14577588 16524432 19436784 21866382 23486114 29155176 35229171 43732764 46972228 58310352 70458342 87465528 93944456 105687513 140916684 174931056 187888912 211375026 281833368 317062539 422750052 563666736 634125078 845500104 1268250156 1691000208 2536500312 5073000624