Search a number
267457893082381 = 5330677541218191
BaseRepresentation
bin111100110100000001100100…
…101101011010010100001101
31022001222201120102121020001001
4330310001210231122110031
5240024012231112114011
62344500243155220301
7110223123630564301
oct7464014455322415
91261881512536031
10267457893082381
117824728a039821
1225bb716b2a7691
13b63122bb90791
144a0906147bd01
1520dc2d850a7c1
hexf34064b5a50d

267457893082381 has 16 divisors (see below), whose sum is σ = 272630516491008. Its totient is φ = 262289969323200.

The previous prime is 267457893082343. The next prime is 267457893082409. The reversal of 267457893082381 is 183280398754762.

267457893082381 is a nontrivial binomial coefficient, being equal to C(23128247, 2).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-267457893082381 is a prime.

It is a super-2 number, since 2×2674578930823812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267457893082981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225687996 + ... + 1225906186.

It is an arithmetic number, because the mean of its divisors is an integer number (17039407280688).

It is a 1-persistent number, because it is pandigital, but 2⋅267457893082381 = 534915786164762 is not.

Almost surely, 2267457893082381 is an apocalyptic number.

267457893082381 is the 23128246-th triangular number.

267457893082381 is the 8741656-th centered heptagonal number and also the 7709416-th centered nonagonal number.

It is an amenable number.

267457893082381 is a deficient number, since it is larger than the sum of its proper divisors (5172623408627).

267457893082381 is a wasteful number, since it uses less digits than its factorization.

267457893082381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228852.

The product of its (nonzero) digits is 975421440, while the sum is 73.

The spelling of 267457893082381 in words is "two hundred sixty-seven trillion, four hundred fifty-seven billion, eight hundred ninety-three million, eighty-two thousand, three hundred eighty-one".