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5540246768 = 2472910915649
BaseRepresentation
bin1010010100011100…
…10111010011110000
3112022002221200210202
411022032113103300
542321300344033
62313430414332
7254202214640
oct51216272360
915262850722
105540246768
112393363441
1210a75013a8
136a3a65934
143a7b32520
152265be8e8
hex14a3974f0

5540246768 has 80 divisors (see below), whose sum is σ = 12807960000. Its totient is φ = 2271338496.

The previous prime is 5540246759. The next prime is 5540246771. The reversal of 5540246768 is 8676420455.

It is a congruent number.

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, 346208 + ... + 361856.

It is an arithmetic number, because the mean of its divisors is an integer number (160099500).

Almost surely, 25540246768 is an apocalyptic number.

5540246768 is a gapful number since it is divisible by the number (58) 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 5540246768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403980000).

5540246768 is an abundant number, since it is smaller than the sum of its proper divisors (7267713232).

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

5540246768 is a wasteful number, since it uses less digits than its factorization.

5540246768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15802 (or 15796 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The square root of 5540246768 is about 74432.8339377186. The cubic root of 5540246768 is about 1769.4693173232.

The spelling of 5540246768 in words is "five billion, five hundred forty million, two hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 109 112 116 203 218 232 406 436 464 763 812 872 1526 1624 1744 3052 3161 3248 6104 6322 12208 12644 15649 22127 25288 31298 44254 50576 62596 88508 109543 125192 177016 219086 250384 354032 438172 453821 876344 907642 1705741 1752688 1815284 3176747 3411482 3630568 6353494 6822964 7261136 11940187 12706988 13645928 23880374 25413976 27291856 47760748 49466489 50827952 95521496 98932978 191042992 197865956 346265423 395731912 692530846 791463824 1385061692 2770123384 5540246768