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6725402496 = 273214394057
BaseRepresentation
bin1100100001101110…
…10111111110000000
3122100201000211211100
412100313113332000
5102233200334441
63031204414400
7325442656311
oct62067277600
918321024740
106725402496
11294135048a
1213783a7400
13832460607
1447b2ba608
15295676cb6
hex190dd7f80

6725402496 has 96 divisors (see below), whose sum is σ = 19371268800. Its totient is φ = 2239690752.

The previous prime is 6725402479. The next prime is 6725402527. The reversal of 6725402496 is 6942045276.

6725402496 is a `hidden beast` number, since 67 + 2 + 540 + 2 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655700 + ... + 1659756.

It is an arithmetic number, because the mean of its divisors is an integer number (201784050).

Almost surely, 26725402496 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 6725402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685634400).

6725402496 is an abundant number, since it is smaller than the sum of its proper divisors (12645866304).

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

6725402496 is a wasteful number, since it uses less digits than its factorization.

6725402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6725402496 is about 82008.5513589894. The cubic root of 6725402496 is about 1887.5831575193.

The spelling of 6725402496 in words is "six billion, seven hundred twenty-five million, four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1439 2878 4057 4317 5756 8114 8634 11512 12171 12951 16228 17268 23024 24342 25902 32456 34536 36513 46048 48684 51804 64912 69072 73026 92096 97368 103608 129824 138144 146052 184192 194736 207216 259648 276288 292104 389472 414432 519296 552576 584208 778944 828864 1168416 1557888 1657728 2336832 4673664 5838023 11676046 17514069 23352092 35028138 46704184 52542207 70056276 93408368 105084414 140112552 186816736 210168828 280225104 373633472 420337656 560450208 747266944 840675312 1120900416 1681350624 2241800832 3362701248 6725402496