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6556293984 = 2531710333889
BaseRepresentation
bin1100001101100100…
…10001101101100000
3121220220211020120010
412012302101231200
5101411402401414
63002324044520
7321320402502
oct60662215540
917826736503
106556293984
112864947789
12132b833740
13806400cc6
14462a59d72
152858c0959
hex186c91b60

6556293984 has 96 divisors (see below), whose sum is σ = 18244971360. Its totient is φ = 2054356992.

The previous prime is 6556293983. The next prime is 6556294007. The reversal of 6556293984 is 4893926556.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6556293983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683912 + ... + 1687800.

It is an arithmetic number, because the mean of its divisors is an integer number (190051785).

Almost surely, 26556293984 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 6556293984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122485680).

6556293984 is an abundant number, since it is smaller than the sum of its proper divisors (11688677376).

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

6556293984 is a wasteful number, since it uses less digits than its factorization.

With its successor (6556293985) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4952).

6556293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4944 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The square root of 6556293984 is about 80970.9453075608. The cubic root of 6556293984 is about 1871.6277384550.

The spelling of 6556293984 in words is "six billion, five hundred fifty-six million, two hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1033 1632 2066 3099 3889 4132 6198 7778 8264 11667 12396 15556 16528 17561 23334 24792 31112 33056 35122 46668 49584 52683 62224 66113 70244 93336 99168 105366 124448 132226 140488 186672 198339 210732 264452 280976 373344 396678 421464 528904 561952 793356 842928 1057808 1586712 1685856 2115616 3173424 4017337 6346848 8034674 12052011 16069348 24104022 32138696 48208044 64277392 68294729 96416088 128554784 136589458 192832176 204884187 273178916 385664352 409768374 546357832 819536748 1092715664 1639073496 2185431328 3278146992 6556293984