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2942653933296 = 24327211264714323
BaseRepresentation
bin101010110100100011110…
…101111010011011110000
3101102022111121112020202200
4222310203311322123300
5341203023401331141
610131500410143200
7422412464506200
oct52644365723360
911368447466680
102942653933296
11a34a77481020
123b6380a21b00
1318464cb7a45c
14a25d4ac4400
1551829ec6ab6
hex2ad23d7a6f0

2942653933296 has 360 divisors, whose sum is σ = 10455467128704. Its totient is φ = 763983601920.

The previous prime is 2942653933283. The next prime is 2942653933313. The reversal of 2942653933296 is 6923393562492.

2942653933296 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 6 + 539 + 3 + 3 + 2 + 96 = 666.

It is a super-2 number, since 2×29426539332962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205442391 + ... + 205456713.

Almost surely, 22942653933296 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 2942653933296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227733564352).

2942653933296 is an abundant number, since it is smaller than the sum of its proper divisors (7512813195408).

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

2942653933296 is a wasteful number, since it uses less digits than its factorization.

2942653933296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17009 (or 16993 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 63.

The spelling of 2942653933296 in words is "two trillion, nine hundred forty-two billion, six hundred fifty-three million, nine hundred thirty-three thousand, two hundred ninety-six".