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9839052864 = 263241332
BaseRepresentation
bin10010010100111010…
…00000100001000000
3221101200220200011100
421022131000201000
5130122244142424
64304153014400
7465551366214
oct111235004100
927350820140
109839052864
114199986053
121aa70b4400
13c0a557894
14694a28944
153c8bb9dc9
hex24a740840

9839052864 has 63 divisors (see below), whose sum is σ = 28208693773. Its totient is φ = 3278890752.

The previous prime is 9839052851. The next prime is 9839052943. The reversal of 9839052864 is 4682509389.

The square root of 9839052864 is 99192.

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

It can be written as a sum of positive squares in only one way, i.e., 7279502400 + 2559550464 = 85320^2 + 50592^2 .

It is a super-2 number, since 2×98390528642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9839052864.

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, 2378542 + ... + 2382674.

Almost surely, 29839052864 is an apocalyptic number.

9839052864 is the 99192-nd square number.

It is an amenable number.

9839052864 is an abundant number, since it is smaller than the sum of its proper divisors (18369640909).

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

9839052864 is an frugal number, since it uses more digits than its factorization.

9839052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The cubic root of 9839052864 is about 2142.8137837474.

The spelling of 9839052864 in words is "nine billion, eight hundred thirty-nine million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4133 8266 12399 16532 24798 33064 37197 49596 66128 74394 99192 132256 148788 198384 264512 297576 396768 595152 793536 1190304 2380608 17081689 34163378 51245067 68326756 102490134 136653512 153735201 204980268 273307024 307470402 409960536 546614048 614940804 819921072 1093228096 1229881608 1639842144 2459763216 3279684288 4919526432 9839052864