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258130204614 = 23231691669463
BaseRepresentation
bin1111000001100111000…
…0100101011111000110
3220200021112112001011200
43300121300211133012
513212122313021424
6314330002043330
724435464352132
oct3603160453706
9820245461150
10258130204614
119a521853317
124203b349546
131b45958c959
14c6ca4d03c2
156aab9838c9
hex3c19c257c6

258130204614 has 48 divisors (see below), whose sum is σ = 578159821824. Its totient is φ = 83147180400.

The previous prime is 258130204613. The next prime is 258130204627. The reversal of 258130204614 is 416402031852.

It is a happy number.

258130204614 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 30 + 2 + 0 + 4 + 614 = 666.

258130204614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258130204613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50847 + ... + 720309.

It is an arithmetic number, because the mean of its divisors is an integer number (12044996288).

Almost surely, 2258130204614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258130204614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289079910912).

258130204614 is an abundant number, since it is smaller than the sum of its proper divisors (320029617210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258130204614 is a wasteful number, since it uses less digits than its factorization.

258130204614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670193 (or 670190 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 258130204614 in words is "two hundred fifty-eight billion, one hundred thirty million, two hundred four thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 691 1382 2073 4146 6219 12438 21421 42842 64263 128526 192789 385578 669463 1338926 2008389 4016778 6025167 12050334 20753353 41506706 62260059 124520118 186780177 373560354 462598933 925197866 1387796799 2775593598 4163390397 8326780794 14340566923 28681133846 43021700769 86043401538 129065102307 258130204614