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258090270693 = 317311375092341
BaseRepresentation
bin1111000001011101100…
…0001111111111100101
3220200011202101012010120
43300113120033333211
513212032102130233
6314322014112153
724434501050533
oct3602730177745
9820152335116
10258090270693
119a501258382
1242029aab659
131b45121a208
14c6c5097153
156aa81e64b3
hex3c1760ffe5

258090270693 has 64 divisors (see below), whose sum is σ = 379768227840. Its totient is φ = 155199283200.

The previous prime is 258090270689. The next prime is 258090270701. The reversal of 258090270693 is 396072090852.

It is not a de Polignac number, because 258090270693 - 22 = 258090270689 is a prime.

It is a super-2 number, since 2×2580902706932 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258090271693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110246703 + ... + 110249043.

It is an arithmetic number, because the mean of its divisors is an integer number (5933878560).

Almost surely, 2258090270693 is an apocalyptic number.

It is an amenable number.

258090270693 is a deficient number, since it is larger than the sum of its proper divisors (121677957147).

258090270693 is a wasteful number, since it uses less digits than its factorization.

258090270693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 258090270693 in words is "two hundred fifty-eight billion, ninety million, two hundred seventy thousand, six hundred ninety-three".

Divisors: 1 3 17 31 51 93 137 411 509 527 1527 1581 2329 2341 4247 6987 7023 8653 12741 15779 25959 39797 47337 69733 72199 72571 119391 209199 216597 217713 268243 320717 804729 962151 1185461 1191569 1233707 2161723 3556383 3574707 3701121 5452189 6485169 9942227 16356567 20256673 29826681 36749291 36938639 60770019 110247873 110815917 163244953 169017859 489734859 507053577 627956863 1883870589 2775164201 5060593543 8325492603 15181780629 86030090231 258090270693