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2997049126656 = 283136142111689
BaseRepresentation
bin101011100111001110000…
…011000110111100000000
3101121111220111200101012210
4223213032003012330000
5343100424034023111
610212454140022120
7426346446150564
oct53471603067400
911544814611183
102997049126656
11a5605010a982
12404a21831940
1318980b3893c0
14a50b503b6a4
1552e606560a6
hex2b9ce0c6f00

2997049126656 has 288 divisors, whose sum is σ = 8752408490560. Its totient is φ = 904819507200.

The previous prime is 2997049126649. The next prime is 2997049126663. The reversal of 2997049126656 is 6566219407992.

It is an interprime number because it is at equal distance from previous prime (2997049126649) and next prime (2997049126663).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256393260 + ... + 256404948.

Almost surely, 22997049126656 is an apocalyptic number.

2997049126656 is a gapful number since it is divisible by the number (26) 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 2997049126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376204245280).

2997049126656 is an abundant number, since it is smaller than the sum of its proper divisors (5755359363904).

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

2997049126656 is a wasteful number, since it uses less digits than its factorization.

2997049126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 12189 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 2997049126656 in words is "two trillion, nine hundred ninety-seven billion, forty-nine million, one hundred twenty-six thousand, six hundred fifty-six".