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258188969380 = 225257330115217
BaseRepresentation
bin1111000001110101000…
…0110000010110100100
3220200102122002121021111
43300131100300112210
513212232334010010
6314335501354404
724440110013026
oct3603520602644
9820378077244
10258188969380
119a551a40141
1242056b68a04
131b4687c65c4
14c6d422a016
156ab1be058a
hex3c1d4305a4

258188969380 has 48 divisors (see below), whose sum is σ = 544507222896. Its totient is φ = 102835814400.

The previous prime is 258188969371. The next prime is 258188969431. The reversal of 258188969380 is 83969881852.

It can be written as a sum of positive squares in 8 ways, for example, as 22482603364 + 235706366016 = 149942^2 + 485496^2 .

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, 16959532 + ... + 16974748.

It is an arithmetic number, because the mean of its divisors is an integer number (11343900477).

Almost surely, 2258188969380 is an apocalyptic number.

258188969380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258188969380 is an abundant number, since it is smaller than the sum of its proper divisors (286318253516).

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

258188969380 is a wasteful number, since it uses less digits than its factorization.

258188969380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18784 (or 18782 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 67.

The spelling of 258188969380 in words is "two hundred fifty-eight billion, one hundred eighty-eight million, nine hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 3301 5140 6602 13204 15217 16505 30434 33010 60868 66020 76085 152170 304340 848357 1696714 3393428 3910769 4241785 7821538 8483570 15643076 16967140 19553845 39107690 50231317 78215380 100462634 200925268 251156585 502313170 1004626340 12909448469 25818896938 51637793876 64547242345 129094484690 258188969380