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10939486464 = 283221792
BaseRepresentation
bin10100011000000101…
…10101000100000000
31001020101120111021100
422030002311010000
5134401002031324
65005303054400
7535043046354
oct121402650400
931211514240
1010939486464
114704067105
122153741400
13105452aa1a
1475ac3b464
154405d94c9
hex28c0b5100

10939486464 has 81 divisors (see below), whose sum is σ = 31555718103. Its totient is φ = 3644822016.

The previous prime is 10939486433. The next prime is 10939486471. The reversal of 10939486464 is 46468493901.

It is a happy number.

The square root of 10939486464 is 104592.

It is a perfect power (a square), and thus also a powerful number.

10939486464 is a `hidden beast` number, since 1 + 0 + 93 + 94 + 8 + 6 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10939486464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5019327 + ... + 5021505.

Almost surely, 210939486464 is an apocalyptic number.

10939486464 is the 104592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10939486464

10939486464 is an abundant number, since it is smaller than the sum of its proper divisors (20616231639).

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

10939486464 is an frugal number, since it uses more digits than its factorization.

10939486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10939486464 in words is "ten billion, nine hundred thirty-nine million, four hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2179 2304 4358 6537 8716 13074 17432 19611 26148 34864 39222 52296 69728 78444 104592 139456 156888 209184 278912 313776 418368 557824 627552 836736 1255104 1673472 2510208 4748041 5020416 9496082 14244123 18992164 28488246 37984328 42732369 56976492 75968656 85464738 113952984 151937312 170929476 227905968 303874624 341858952 455811936 607749248 683717904 911623872 1215498496 1367435808 1823247744 2734871616 3646495488 5469743232 10939486464