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11334937594272 = 253238361850323
BaseRepresentation
bin1010010011110001111011…
…1011011100100110100000
31111010121110021211101102120
42210330132323130212200
52441202423011004042
640035110510344240
72246631214565265
oct244743673344640
944117407741376
1011334937594272
113680135852966
1213309537bb080
13642b59566666
142b28847bb26c
15149cab1bcdec
hexa4f1eedc9a0

11334937594272 has 96 divisors (see below), whose sum is σ = 31421943802368. Its totient is φ = 3570495388416.

The previous prime is 11334937594243. The next prime is 11334937594273. The reversal of 11334937594272 is 27249573943311.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11334937594273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30741898 + ... + 31108425.

It is an arithmetic number, because the mean of its divisors is an integer number (327311914608).

Almost surely, 211334937594272 is an apocalyptic number.

11334937594272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11334937594272 is an abundant number, since it is smaller than the sum of its proper divisors (20087006208096).

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

11334937594272 is a wasteful number, since it uses less digits than its factorization.

11334937594272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61850442 (or 61850434 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 11334937594272 in words is "eleven trillion, three hundred thirty-four billion, nine hundred thirty-seven million, five hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 83 92 96 138 166 184 249 276 332 368 498 552 664 736 996 1104 1328 1909 1992 2208 2656 3818 3984 5727 7636 7968 11454 15272 22908 30544 45816 61088 91632 183264 61850323 123700646 185550969 247401292 371101938 494802584 742203876 989605168 1422557429 1484407752 1979210336 2845114858 2968815504 4267672287 5133576809 5690229716 5937631008 8535344574 10267153618 11380459432 15400730427 17070689148 20534307236 22760918864 30801460854 34141378296 41068614472 45521837728 61602921708 68282756592 82137228944 118072266607 123205843416 136565513184 164274457888 236144533214 246411686832 354216799821 472289066428 492823373664 708433599642 944578132856 1416867199284 1889156265712 2833734398568 3778312531424 5667468797136 11334937594272