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5209309368 = 2333531273583
BaseRepresentation
bin1001101100111111…
…11100000010111000
3111110001020100001000
410312133330002320
541132040344433
62220525325000
7243043253604
oct46637740270
914401210030
105209309368
11223357925a
121014706760
136503252a3
14375bc8504
152074ee113
hex1367fc0b8

5209309368 has 128 divisors (see below), whose sum is σ = 14863564800. Its totient is φ = 1689787008.

The previous prime is 5209309351. The next prime is 5209309447. The reversal of 5209309368 is 8639039025.

5209309368 is a `hidden beast` number, since 520 + 9 + 30 + 93 + 6 + 8 = 666.

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, 1452105 + ... + 1455687.

It is an arithmetic number, because the mean of its divisors is an integer number (116121600).

Almost surely, 25209309368 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 5209309368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431782400).

5209309368 is an abundant number, since it is smaller than the sum of its proper divisors (9654255432).

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

5209309368 is a wasteful number, since it uses less digits than its factorization.

5209309368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5209309368 is about 72175.5454984581. The cubic root of 5209309368 is about 1733.5114582559.

The spelling of 5209309368 in words is "five billion, two hundred nine million, three hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 127 159 212 216 254 318 381 424 477 508 636 762 954 1016 1143 1272 1431 1524 1908 2286 2862 3048 3429 3583 3816 4572 5724 6731 6858 7166 9144 10749 11448 13462 13716 14332 20193 21498 26924 27432 28664 32247 40386 42996 53848 60579 64494 80772 85992 96741 121158 128988 161544 181737 189899 193482 242316 257976 363474 379798 386964 455041 484632 569697 726948 759596 773928 910082 1139394 1365123 1453896 1519192 1709091 1820164 2278788 2730246 3418182 3640328 4095369 4557576 5127273 5460492 6836364 8190738 10254546 10920984 12286107 13672728 16381476 20509092 24117173 24572214 32762952 41018184 48234346 49144428 72351519 96468692 98288856 144703038 192937384 217054557 289406076 434109114 578812152 651163671 868218228 1302327342 1736436456 2604654684 5209309368