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372561381401 = 1124175098041
BaseRepresentation
bin1010110101111100110…
…00111000100000011001
31022121122102222010100112
411122332120320200121
522101001203201101
6443052523214105
735626263330266
oct5327630704031
91277572863315
10372561381401
11134003207100
1260256077335
1329194b17351
1414063dc626d
159a57ac26bb
hex56be638819

372561381401 has 12 divisors (see below), whose sum is σ = 419497662612. Its totient is φ = 330431376000.

The previous prime is 372561381377. The next prime is 372561381427. The reversal of 372561381401 is 104183165273.

It can be written as a sum of positive squares in 2 ways, for example, as 84229970176 + 288331411225 = 290224^2 + 536965^2 .

It is not a de Polignac number, because 372561381401 - 238 = 97683474457 is a prime.

It is a super-2 number, since 2×3725613814012 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (372561381301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37544060 + ... + 37553981.

It is an arithmetic number, because the mean of its divisors is an integer number (34958138551).

Almost surely, 2372561381401 is an apocalyptic number.

It is an amenable number.

372561381401 is a deficient number, since it is larger than the sum of its proper divisors (46936281211).

372561381401 is a wasteful number, since it uses less digits than its factorization.

372561381401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75098104 (or 75098093 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 372561381401 in words is "three hundred seventy-two billion, five hundred sixty-one million, three hundred eighty-one thousand, four hundred one".

Divisors: 1 11 41 121 451 4961 75098041 826078451 3079019681 9086862961 33869216491 372561381401