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37444107041 = 1137432139541
BaseRepresentation
bin100010110111110101…
…111011101100100001
310120122112200201111022
4202313311323230201
51103141142411131
625111313055225
72463620441555
oct426765735441
9116575621438
1037444107041
1114975249910
12730bb57515
1336b96b3673
141b52d6b865
15e9241a37b
hex8b7d7bb21

37444107041 has 16 divisors (see below), whose sum is σ = 42927770688. Its totient is φ = 32349844800.

The previous prime is 37444107037. The next prime is 37444107047. The reversal of 37444107041 is 14070144473.

It is a cyclic number.

It is not a de Polignac number, because 37444107041 - 22 = 37444107037 is a prime.

It is a super-2 number, since 2×374441070412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37444106992 and 37444107010.

It is not an unprimeable number, because it can be changed into a prime (37444107047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052270 + ... + 1087271.

It is an arithmetic number, because the mean of its divisors is an integer number (2682985668).

Almost surely, 237444107041 is an apocalyptic number.

It is an amenable number.

37444107041 is a deficient number, since it is larger than the sum of its proper divisors (5483663647).

37444107041 is a wasteful number, since it uses less digits than its factorization.

37444107041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139632.

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 37444107041 in words is "thirty-seven billion, four hundred forty-four million, one hundred seven thousand, forty-one".

Divisors: 1 11 37 43 407 473 1591 17501 2139541 23534951 79163017 92000263 870793187 1012002893 3404009731 37444107041