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11334583296 = 2103211092
BaseRepresentation
bin10101000111001100…
…00000010000000000
31002020221000111020100
422203212000100000
5141203123131141
65112415242400
7550611240231
oct124346002000
932227014210
1011334583296
114897093213
122243b19400
1310b834362a
147974c7088
154651300b6
hex2a3980400

11334583296 has 99 divisors (see below), whose sum is σ = 32757901501. Its totient is φ = 3774787584.

The previous prime is 11334583283. The next prime is 11334583303. The reversal of 11334583296 is 69238543311.

The square root of 11334583296 is 106464.

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

11334583296 is a `hidden beast` number, since 1 + 13 + 34 + 583 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183223296 + 11151360000 = 13536^2 + 105600^2 .

It is a Duffinian number.

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, 10219990 + ... + 10221098.

Almost surely, 211334583296 is an apocalyptic number.

11334583296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11334583296 is the 106464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334583296

11334583296 is an abundant number, since it is smaller than the sum of its proper divisors (21423318205).

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

11334583296 is an frugal number, since it uses more digits than its factorization.

11334583296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1114 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 11334583296 in words is "eleven billion, three hundred thirty-four million, five hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1109 1152 1536 2218 2304 3072 3327 4436 4608 6654 8872 9216 9981 13308 17744 19962 26616 35488 39924 53232 70976 79848 106464 141952 159696 212928 283904 319392 425856 567808 638784 851712 1135616 1229881 1277568 1703424 2459762 2555136 3406848 3689643 4919524 5110272 7379286 9839048 10220544 11068929 14758572 19678096 22137858 29517144 39356192 44275716 59034288 78712384 88551432 118068576 157424768 177102864 236137152 314849536 354205728 472274304 629699072 708411456 944548608 1259398144 1416822912 1889097216 2833645824 3778194432 5667291648 11334583296