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3854065413601 = 131015575269861
BaseRepresentation
bin111000000101011000001…
…100110010110111100001
3111122110000110000121002201
4320011120030302313201
51001121111221213401
612110311101213201
7545306222330464
oct70053014626741
914573013017081
103854065413601
1112565554a5977
12522b3a861201
1321c58a891a70
14d477588d2db
156a3be272b01
hex38158332de1

3854065413601 has 16 divisors (see below), whose sum is σ = 4199152518288. Its totient is φ = 3516050592000.

The previous prime is 3854065413571. The next prime is 3854065413607. The reversal of 3854065413601 is 1063145604583.

It can be written as a sum of positive squares in 8 ways, for example, as 212078670400 + 3641986743201 = 460520^2 + 1908399^2 .

It is a cyclic number.

It is not a de Polignac number, because 3854065413601 - 215 = 3854065380833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3854065413607) 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 15 ways as a sum of consecutive naturals, for example, 1903590 + ... + 3366271.

It is an arithmetic number, because the mean of its divisors is an integer number (262447032393).

Almost surely, 23854065413601 is an apocalyptic number.

It is an amenable number.

3854065413601 is a deficient number, since it is larger than the sum of its proper divisors (345087104687).

3854065413601 is a wasteful number, since it uses less digits than its factorization.

3854065413601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270532.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 3854065413601 in words is "three trillion, eight hundred fifty-four billion, sixty-five million, four hundred thirteen thousand, six hundred one".

Divisors: 1 13 101 557 1313 7241 56257 731341 5269861 68508193 532255961 2935312577 6919327493 38159063501 296466570277 3854065413601