Search a number
-
+
2553011031029 = 28127737327557
BaseRepresentation
bin100101001001101011010…
…100001100101111110101
3100001001202201122221220012
4211021223110030233311
5313312031310443104
65232500450350005
7352306664465324
oct45115324145765
910031681587805
102553011031029
118a47a9196528
1235295a28b305
131569951c9314
148b7d027c0bb
15466229c7d6e
hex2526b50cbf5

2553011031029 has 8 divisors (see below), whose sum is σ = 2562196672728. Its totient is φ = 2543826100480.

The previous prime is 2553011031023. The next prime is 2553011031049. The reversal of 2553011031029 is 9201301103552.

It can be written as a sum of positive squares in 4 ways, for example, as 728547602500 + 1824463428529 = 853550^2 + 1350727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2553011031029 - 212 = 2553011026933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2553011030986 and 2553011031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553011031023) 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, 7630319 + ... + 7957875.

It is an arithmetic number, because the mean of its divisors is an integer number (320274584091).

Almost surely, 22553011031029 is an apocalyptic number.

It is an amenable number.

2553011031029 is a deficient number, since it is larger than the sum of its proper divisors (9185641699).

2553011031029 is a wasteful number, since it uses less digits than its factorization.

2553011031029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355575.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 2553011031029 in words is "two trillion, five hundred fifty-three billion, eleven million, thirty-one thousand, twenty-nine".

Divisors: 1 281 27737 327557 7794097 92043517 9085448509 2553011031029