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2668804398624 = 2537136718712437
BaseRepresentation
bin100110110101100001001…
…000110101111000100000
3100110010122120022111120110
4212311201020311320200
5322211202411223444
65402010512211320
7363546314044320
oct46654110657040
910403576274513
102668804398624
11939919564441
12371295239b40
13164889a24b90
1493256a43280
154964d4ddcb9
hex26d61235e20

2668804398624 has 384 divisors, whose sum is σ = 8759252017152. Its totient is φ = 692700180480.

The previous prime is 2668804398613. The next prime is 2668804398643. The reversal of 2668804398624 is 4268934088662.

It is a super-2 number, since 2×26688043986242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095117534 + ... + 1095119970.

It is an arithmetic number, because the mean of its divisors is an integer number (22810552128).

Almost surely, 22668804398624 is an apocalyptic number.

2668804398624 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 2668804398624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379626008576).

2668804398624 is an abundant number, since it is smaller than the sum of its proper divisors (6090447618528).

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

2668804398624 is a wasteful number, since it uses less digits than its factorization.

2668804398624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 2668804398624 in words is "two trillion, six hundred sixty-eight billion, eight hundred four million, three hundred ninety-eight thousand, six hundred twenty-four".