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258469591220 = 225531741140057
BaseRepresentation
bin1111000010110111111…
…1001111100010110100
3220201011012010200001222
43300231333033202310
513213321203404340
6314423404205512
724450055163351
oct3605577174264
9821135120058
10258469591220
119a686389515
1242114b39898
131b4b199b029
14c71d5d7628
156acb6728b5
hex3c2dfcf8b4

258469591220 has 48 divisors (see below), whose sum is σ = 553348989648. Its totient is φ = 101378135040.

The previous prime is 258469591213. The next prime is 258469591223. The reversal of 258469591220 is 22195964852.

It can be written as a sum of positive squares in 8 ways, for example, as 81940207504 + 176529383716 = 286252^2 + 420154^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258469591223) 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 15 ways as a sum of consecutive naturals, for example, 1775432 + ... + 1915488.

It is an arithmetic number, because the mean of its divisors is an integer number (11528103951).

Almost surely, 2258469591220 is an apocalyptic number.

258469591220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258469591220 is an abundant number, since it is smaller than the sum of its proper divisors (294879398428).

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

258469591220 is a wasteful number, since it uses less digits than its factorization.

258469591220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141860 (or 141858 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The spelling of 258469591220 in words is "two hundred fifty-eight billion, four hundred sixty-nine million, five hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1741 3482 6964 8705 17410 34820 92273 140057 184546 280114 369092 461365 560228 700285 922730 1400570 1845460 2801140 7423021 14846042 29692084 37115105 74230210 148460420 243839237 487678474 975356948 1219196185 2438392370 4876784740 12923479561 25846959122 51693918244 64617397805 129234795610 258469591220