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5337344064 = 263134745497
BaseRepresentation
bin1001111100010000…
…10110100001000000
3111202222011011121210
410332020112201000
541412330002224
62241341450120
7246156450603
oct47610264100
914688134553
105337344064
112299878658
12104b570940
13670a03370
14388bd633a
15213890429
hex13e216840

5337344064 has 112 divisors (see below), whose sum is σ = 15531925248. Its totient is φ = 1607282688.

The previous prime is 5337344057. The next prime is 5337344141. The reversal of 5337344064 is 4604437335.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94564 + ... + 140060.

It is an arithmetic number, because the mean of its divisors is an integer number (138677904).

Almost surely, 25337344064 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 5337344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765962624).

5337344064 is an abundant number, since it is smaller than the sum of its proper divisors (10194581184).

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

5337344064 is a wasteful number, since it uses less digits than its factorization.

5337344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45572 (or 45562 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The square root of 5337344064 is about 73057.1287692036. The cubic root of 5337344064 is about 1747.5987817292.

The spelling of 5337344064 in words is "five billion, three hundred thirty-seven million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 564 611 624 752 832 1128 1222 1248 1504 1833 2256 2444 2496 3008 3666 4512 4888 7332 9024 9776 14664 19552 29328 39104 45497 58656 90994 117312 136491 181988 272982 363976 545964 591461 727952 1091928 1182922 1455904 1774383 2138359 2183856 2365844 2911808 3548766 4276718 4367712 4731688 6415077 7097532 8553436 8735424 9463376 12830154 14195064 17106872 18926752 25660308 27798667 28390128 34213744 37853504 51320616 55597334 56780256 68427488 83396001 102641232 111194668 113560512 136854976 166792002 205282464 222389336 333584004 410564928 444778672 667168008 889557344 1334336016 1779114688 2668672032 5337344064