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258134511331653 = 311173712436022129
BaseRepresentation
bin111010101100010110011111…
…110110100010100101000101
31020211222102021220222100210220
4322230112133312202211011
5232313233434400103103
62313001205111334553
7105241413554360025
oct7254263766424505
91224872256870726
10258134511331653
1175282260103a70
1224b50245681459
13b105c97cc1038
1447a5ac4191a85
151ec9a0eaa3c53
hexeac59fda2945

258134511331653 has 32 divisors (see below), whose sum is σ = 408299478572160. Its totient is φ = 143262974914560.

The previous prime is 258134511331561. The next prime is 258134511331679. The reversal of 258134511331653 is 356133115431852.

It is not a de Polignac number, because 258134511331653 - 28 = 258134511331397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 258134511331596 and 258134511331605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258134511330653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217990308 + ... + 6218031821.

It is an arithmetic number, because the mean of its divisors is an integer number (12759358705380).

Almost surely, 2258134511331653 is an apocalyptic number.

It is an amenable number.

258134511331653 is a deficient number, since it is larger than the sum of its proper divisors (150164967240507).

258134511331653 is a wasteful number, since it uses less digits than its factorization.

258134511331653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436022197.

The product of its digits is 3888000, while the sum is 51.

The spelling of 258134511331653 in words is "two hundred fifty-eight trillion, one hundred thirty-four billion, five hundred eleven million, three hundred thirty-one thousand, six hundred fifty-three".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 12436022129 37308066387 136796243419 211412376193 410388730257 460132818773 634237128579 1380398456319 2325536138123 5061461006503 6976608414369 7822257919141 15184383019509 23466773757423 86044837110551 258134511331653