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11743623424 = 281325212
BaseRepresentation
bin10101110111111100…
…10111100100000000
31010022102200212210201
422323332113210000
5143022331422144
65221150334544
7564006103111
oct127376274400
933272625721
1011743623424
114a86a73105
122338aba454
131151ccb900
147d5962208
1548aecc1d4
hex2bbf97900

11743623424 has 81 divisors (see below), whose sum is σ = 25432076019. Its totient is φ = 5409730560.

The previous prime is 11743623389. The next prime is 11743623427. The reversal of 11743623424 is 42432634711.

The square root of 11743623424 is 108368.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3863865600 + 7879757824 = 62160^2 + 88768^2 .

It is a super-2 number, since 2×117436234242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11743623427) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22540284 + ... + 22540804.

Almost surely, 211743623424 is an apocalyptic number.

11743623424 is the 108368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11743623424

11743623424 is an abundant number, since it is smaller than the sum of its proper divisors (13688452595).

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

11743623424 is an frugal number, since it uses more digits than its factorization.

11743623424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 536 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The spelling of 11743623424 in words is "eleven billion, seven hundred forty-three million, six hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 521 676 832 1042 1352 1664 2084 2704 3328 4168 5408 6773 8336 10816 13546 16672 21632 27092 33344 43264 54184 66688 88049 108368 133376 176098 216736 271441 352196 433472 542882 704392 866944 1085764 1408784 1733888 2171528 2817568 3528733 4343056 5635136 7057466 8686112 11270272 14114932 17372224 22540544 28229864 34744448 45873529 56459728 69488896 91747058 112919456 183494116 225838912 366988232 451677824 733976464 903355648 1467952928 2935905856 5871811712 11743623424