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38011017341 = 1137325928657
BaseRepresentation
bin100011011001101000…
…100001100001111101
310122010001102202020002
4203121220201201331
51110321310023331
625243444004045
72513643213353
oct433150414175
9118101382202
1038011017341
1115136256a20
127449990625
133779c94b4b
141ba837d7d3
15ec709d9cb
hex8d9a2187d

38011017341 has 16 divisors (see below), whose sum is σ = 42601836480. Its totient is φ = 33610049280.

The previous prime is 38011017301. The next prime is 38011017353. The reversal of 38011017341 is 14371011083.

It is a cyclic number.

It is not a de Polignac number, because 38011017341 - 214 = 38011000957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38011017301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312085 + ... + 1340741.

It is an arithmetic number, because the mean of its divisors is an integer number (2662614780).

Almost surely, 238011017341 is an apocalyptic number.

It is an amenable number.

38011017341 is a deficient number, since it is larger than the sum of its proper divisors (4590819139).

38011017341 is a wasteful number, since it uses less digits than its factorization.

38011017341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31964.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 38011017341 in words is "thirty-eight billion, eleven million, seventeen thousand, three hundred forty-one".

Divisors: 1 11 37 407 3259 28657 35849 120583 315227 1060309 1326413 11663399 93393163 1027324793 3455547031 38011017341