Search a number
-
+
2819747890141 = 72134735393481
BaseRepresentation
bin101001000010000110000…
…100100100001111011101
3100222120021002010100111021
4221002012010210033131
5332144320424441031
65555212503124141
7410501660413600
oct51020604441735
910876232110437
102819747890141
1199793719a746
1239659ba43651
13175b938b7830
149a695832337
154d534d3b511
hex290861243dd

2819747890141 has 24 divisors (see below), whose sum is σ = 3532543809144. Its totient is φ = 2230938339840.

The previous prime is 2819747890121. The next prime is 2819747890151. The reversal of 2819747890141 is 1410987479182.

It can be written as a sum of positive squares in 4 ways, for example, as 52465734916 + 2767282155225 = 229054^2 + 1663515^2 .

It is not a de Polignac number, because 2819747890141 - 223 = 2819739501533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2819747890141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819747890121) 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 23 ways as a sum of consecutive naturals, for example, 30117121 + ... + 30210601.

It is an arithmetic number, because the mean of its divisors is an integer number (147189325381).

Almost surely, 22819747890141 is an apocalyptic number.

It is an amenable number.

2819747890141 is a deficient number, since it is larger than the sum of its proper divisors (712795919003).

2819747890141 is a wasteful number, since it uses less digits than its factorization.

2819747890141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140861 (or 140854 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 61.

The spelling of 2819747890141 in words is "two trillion, eight hundred nineteen billion, seven hundred forty-seven million, eight hundred ninety thousand, one hundred forty-one".

Divisors: 1 7 13 49 91 637 47353 93481 331471 615589 654367 1215253 2320297 4309123 4580569 8506771 30163861 59547397 4426605793 30986240551 57545875309 216903683857 402821127163 2819747890141