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2668533504 = 28371338183
BaseRepresentation
bin1001111100001110…
…1001011100000000
320212222022112210020
42133003221130000
520431121033004
61120443533440
7123062106030
oct23703513400
96788275706
102668533504
11114a35479a
1262582a280
13336b1a110
141b45a18c0
1510941b8d9
hex9f0e9700

2668533504 has 144 divisors (see below), whose sum is σ = 8741386752. Its totient is φ = 703770624.

The previous prime is 2668533481. The next prime is 2668533563. The reversal of 2668533504 is 4053358662.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 50797 + ... + 88979.

Almost surely, 22668533504 is an apocalyptic number.

2668533504 is a gapful number since it is divisible by the number (24) 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 2668533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370693376).

2668533504 is an abundant number, since it is smaller than the sum of its proper divisors (6072853248).

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

2668533504 is a wasteful number, since it uses less digits than its factorization.

2668533504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38222 (or 38208 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2668533504 is about 51657.8503617795. The cubic root of 2668533504 is about 1387.0460713956.

The spelling of 2668533504 in words is "two billion, six hundred sixty-eight million, five hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 38183 69888 76366 114549 152732 229098 267281 305464 458196 496379 534562 610928 801843 916392 992758 1069124 1221856 1489137 1603686 1832784 1985516 2138248 2443712 2978274 3207372 3474653 3665568 3971032 4276496 4887424 5956548 6414744 6949306 7331136 7942064 8552992 9774848 10423959 11913096 12829488 13898612 14662272 15884128 17105984 20847918 23826192 25658976 27797224 29324544 31768256 34211968 41695836 47652384 51317952 55594448 63536512 68423936 83391672 95304768 102635904 111188896 127073024 166783344 190609536 205271808 222377792 333566688 381219072 444755584 667133376 889511168 1334266752 2668533504