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258613303316852 = 22113178727182429
BaseRepresentation
bin111010110011010100011010…
…000101000001000101110100
31020220200012010202120022000202
4322303110122011001011310
5232344110021122114402
62314005151133300032
7105321123512163431
oct7263243205010564
91226605122508022
10258613303316852
1175447316762000
1225008ba8034618
13b13c18c3c4913
1447c0d448b4b88
151ed71d389ab02
hexeb351a141174

258613303316852 has 48 divisors (see below), whose sum is σ = 498075190240320. Its totient is φ = 117485715707360.

The previous prime is 258613303316807. The next prime is 258613303316899.

258613303316852 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077227 + ... + 23105202.

It is an arithmetic number, because the mean of its divisors is an integer number (10376566463340).

Almost surely, 2258613303316852 is an apocalyptic number.

258613303316852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

258613303316852 is a deficient number, since it is larger than the sum of its proper divisors (239461886923468).

258613303316852 is a wasteful number, since it uses less digits than its factorization.

258613303316852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184253 (or 27184229 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 258613303316852 in words is "two hundred fifty-eight trillion, six hundred thirteen billion, three hundred three million, three hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 4 11 22 44 121 242 484 1331 1787 2662 3574 5324 7148 19657 39314 78628 216227 432454 864908 2378497 4756994 9513988 27182429 54364858 108729716 299006719 598013438 1196026876 3289073909 6578147818 13156295636 36179812999 48575000623 72359625998 97150001246 144719251996 194300002492 534325006853 1068650013706 2137300027412 5877575075383 11755150150766 23510300301532 64653325829213 129306651658426 258613303316852