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1838065754133 = 3271710116992223
BaseRepresentation
bin11010101111110101010…
…000011010000000010101
320111201100221222211110100
4122233311100122000111
5220103324313113013
63524221252044313
7246536661061050
oct32576520320025
96451327884410
101838065754133
11649579222124
12258290603699
1310443766348b
1464d6a119a97
1532c2b81a473
hex1abf541a015

1838065754133 has 48 divisors (see below), whose sum is σ = 3244563219456. Its totient is φ = 978751987200.

The previous prime is 1838065754117. The next prime is 1838065754153. The reversal of 1838065754133 is 3314575608381.

1838065754133 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 0 + 65 + 7 + 541 + 33 = 666.

It is not a de Polignac number, because 1838065754133 - 24 = 1838065754117 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1838065754133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838065754153) 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 47 ways as a sum of consecutive naturals, for example, 8387941 + ... + 8604282.

It is an arithmetic number, because the mean of its divisors is an integer number (67595067072).

Almost surely, 21838065754133 is an apocalyptic number.

It is an amenable number.

1838065754133 is a deficient number, since it is larger than the sum of its proper divisors (1406497465323).

1838065754133 is a wasteful number, since it uses less digits than its factorization.

1838065754133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992354 (or 16992351 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1838065754133 in words is "one trillion, eight hundred thirty-eight billion, sixty-five million, seven hundred fifty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 51 63 101 119 153 303 357 707 909 1071 1717 2121 5151 6363 12019 15453 36057 108171 16992223 50976669 118945561 152930007 288867791 356836683 866603373 1070510049 1716214523 2022074537 2599810119 5148643569 6066223611 12013501661 15445930707 18198670833 29175646891 36040504983 87526940673 108121514949 204229528237 262580822019 612688584711 1838065754133