Search a number
-
+
181378432993016 = 23725112903986411
BaseRepresentation
bin101001001111011001110101…
…000100011000011011111000
3212210012121102212000212200002
4221033121311010120123320
5142233201012321234031
61441432033554132132
753130105440351360
oct5117316504303370
9783177385025602
10181378432993016
115287a185997a96
1218414432281048
137a28bb3683a1c
1432b0a979439a0
1515e8108c68ccb
hexa4f6751186f8

181378432993016 has 32 divisors (see below), whose sum is σ = 390216549098880. Its totient is φ = 77423918460000.

The previous prime is 181378432993001. The next prime is 181378432993019. The reversal of 181378432993016 is 610399234873181.

181378432993016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181378432993019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6451979150 + ... + 6452007261.

It is an arithmetic number, because the mean of its divisors is an integer number (12194267159340).

Almost surely, 2181378432993016 is an apocalyptic number.

It is an amenable number.

181378432993016 is an abundant number, since it is smaller than the sum of its proper divisors (208838116105864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181378432993016 is a wasteful number, since it uses less digits than its factorization.

181378432993016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903986675 (or 12903986671 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 181378432993016 in words is "one hundred eighty-one trillion, three hundred seventy-eight billion, four hundred thirty-two million, nine hundred ninety-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 251 502 1004 1757 2008 3514 7028 14056 12903986411 25807972822 51615945644 90327904877 103231891288 180655809754 361311619508 722623239016 3238900589161 6477801178322 12955602356644 22672304124127 25911204713288 45344608248254 90689216496508 181378432993016