Search a number
-
+
262213130064 = 24319682342139
BaseRepresentation
bin1111010000110100011…
…1101101011101010000
3221001211002021010221210
43310031013231131100
513244003030130224
6320243053220120
724641612554644
oct3641507553520
9831732233853
10262213130064
11a1227526676
124299a791640
131b95a427182
14c99686cc24
156c4a139429
hex3d0d1ed750

262213130064 has 80 divisors (see below), whose sum is σ = 713157132800. Its totient is φ = 82790045568.

The previous prime is 262213130041. The next prime is 262213130071. The reversal of 262213130064 is 460031312262.

262213130064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6201507 + ... + 6243645.

It is an arithmetic number, because the mean of its divisors is an integer number (8914464160).

Almost surely, 2262213130064 is an apocalyptic number.

262213130064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

262213130064 is an abundant number, since it is smaller than the sum of its proper divisors (450944002736).

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

262213130064 is a wasteful number, since it uses less digits than its factorization.

262213130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48992 (or 48986 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 262213130064 in words is "two hundred sixty-two billion, two hundred thirteen million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 6823 13646 20469 27292 40938 42139 54584 81876 84278 109168 126417 129637 163752 168556 252834 259274 327504 337112 388911 505668 518548 674224 777822 800641 1011336 1037096 1555644 1601282 2022672 2074192 2401923 3111288 3202564 4803846 6222576 6405128 9607692 12810256 19215384 38430768 287514397 575028794 862543191 1150057588 1725086382 2300115176 3450172764 4600230352 5462773543 6900345528 10925547086 13800691056 16388320629 21851094172 32776641258 43702188344 65553282516 87404376688 131106565032 262213130064