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5309966256 = 243716019871
BaseRepresentation
bin1001111000111111…
…11010011110110000
3111201001122020022220
410330133322132300
541333322410011
62234523001040
7245404653120
oct47437723660
914631566286
105309966256
112285379271
121042369180
13668138a8a
1438530ac80
15211283506
hex13c7fa7b0

5309966256 has 80 divisors (see below), whose sum is σ = 15688424448. Its totient is φ = 1516032000.

The previous prime is 5309966243. The next prime is 5309966257. The reversal of 5309966256 is 6526699035.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5309966199 and 5309966208.

It is not an unprimeable number, because it can be changed into a prime (5309966257) 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, 533001 + ... + 542871.

Almost surely, 25309966256 is an apocalyptic number.

5309966256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5309966256 is an abundant number, since it is smaller than the sum of its proper divisors (10378458192).

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

5309966256 is a wasteful number, since it uses less digits than its factorization.

5309966256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The square root of 5309966256 is about 72869.5152721630. The cubic root of 5309966256 is about 1744.6055660857.

The spelling of 5309966256 in words is "five billion, three hundred nine million, nine hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1601 3202 4803 6404 9606 9871 11207 12808 19212 19742 22414 25616 29613 33621 38424 39484 44828 59226 67242 69097 76848 78968 89656 118452 134484 138194 157936 179312 207291 236904 268968 276388 414582 473808 537936 552776 829164 1105552 1658328 3316656 15803471 31606942 47410413 63213884 94820826 110624297 126427768 189641652 221248594 252855536 331872891 379283304 442497188 663745782 758566608 884994376 1327491564 1769988752 2654983128 5309966256