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5379635716 = 2272134312
BaseRepresentation
bin1010000001010011…
…01011101000000100
3111212220201210212021
411000221223220010
542004141320331
62245452132524
7250212102100
oct50051535004
914786653767
105379635716
112310733a34
121061767144
136796c0000
14390684900
15217446211
hex140a6ba04

5379635716 has 135 divisors (see below), whose sum is σ = 12259040787. Its totient is φ = 2059555680.

The previous prime is 5379635713. The next prime is 5379635743. The reversal of 5379635716 is 6175369735.

It is a happy number.

The square root of 5379635716 is 73346.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2667309316 + 2712326400 = 51646^2 + 52080^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5379635713) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 173536621 + ... + 173536651.

Almost surely, 25379635716 is an apocalyptic number.

5379635716 is the 73346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5379635716

5379635716 is an abundant number, since it is smaller than the sum of its proper divisors (6879405071).

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

5379635716 is an equidigital number, since it uses as much as digits as its factorization.

5379635716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 53 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 52.

The cubic root of 5379635716 is about 1752.2024748967.

The spelling of 5379635716 in words is "five billion, three hundred seventy-nine million, six hundred thirty-five thousand, seven hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 169 182 196 217 338 364 403 434 637 676 806 868 961 1183 1274 1519 1612 1922 2197 2366 2548 2821 3038 3844 4394 4732 5239 5642 6076 6727 8281 8788 10478 11284 12493 13454 15379 16562 19747 20956 24986 26908 28561 30758 33124 36673 39494 47089 49972 57122 61516 68107 73346 78988 87451 94178 107653 114244 136214 146692 162409 174902 188356 199927 215306 256711 272428 324818 349804 399854 430612 476749 513422 612157 649636 799708 885391 953498 1026844 1136863 1224314 1399489 1770782 1906996 2111317 2273726 2448628 2798978 3337243 3541564 4222634 4547452 5597956 6197737 6674486 7958041 8445268 12395474 13348972 14779219 15916082 24790948 27447121 29558438 31832164 43384159 54894242 59116876 86768318 103454533 109788484 173536636 192129847 206909066 384259694 413818132 768519388 1344908929 2689817858 5379635716