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2981990568375 = 35537213229673
BaseRepresentation
bin101011011001001100011…
…111010001000110110111
3101120002001001100100200000
4223121030133101012313
5342324104041142000
610201524010522343
7425304335420400
oct53311437210667
911502031310600
102981990568375
11a4a722a32195
12401b1a7363b3
1318827b6796a0
14a44871329a7
155287d626000
hex2b64c7d11b7

2981990568375 has 576 divisors, whose sum is σ = 7024519232640. Its totient is φ = 1250977996800.

The previous prime is 2981990568313. The next prime is 2981990568379. The reversal of 2981990568375 is 5738650991892.

2981990568375 is a `hidden beast` number, since 2 + 9 + 8 + 199 + 0 + 5 + 68 + 375 = 666.

It is not a de Polignac number, because 2981990568375 - 211 = 2981990566327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981990568379) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 4430892039 + ... + 4430892711.

It is an arithmetic number, because the mean of its divisors is an integer number (12195345890).

Almost surely, 22981990568375 is an apocalyptic number.

2981990568375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2981990568375 is an abundant number, since it is smaller than the sum of its proper divisors (4042528664265).

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

2981990568375 is a wasteful number, since it uses less digits than its factorization.

2981990568375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 2981990568375 in words is "two trillion, nine hundred eighty-one billion, nine hundred ninety million, five hundred sixty-eight thousand, three hundred seventy-five".