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11421506520 = 2333523459803
BaseRepresentation
bin10101010001100011…
…00101101111011000
31002110222120122111000
422220301211233120
5141342401202040
65125202305000
7553015126554
oct125061455730
932428518430
1011421506520
114931162996
122269058160
131100358ca8
147a4c72864
1546caa0130
hex2a8c65bd8

11421506520 has 128 divisors (see below), whose sum is σ = 39727065600. Its totient is φ = 2913305472.

The previous prime is 11421506501. The next prime is 11421506573. The reversal of 11421506520 is 2560512411.

11421506520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 5 + 0 + 652 + 0 = 666.

11421506520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114215065202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205062 + ... + 254741.

It is an arithmetic number, because the mean of its divisors is an integer number (310367700).

Almost surely, 211421506520 is an apocalyptic number.

11421506520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11421506520 is an abundant number, since it is smaller than the sum of its proper divisors (28305559080).

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

11421506520 is a wasteful number, since it uses less digits than its factorization.

11421506520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459846 (or 459836 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11421506520 in words is "eleven billion, four hundred twenty-one million, five hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 459803 919606 1379409 1839212 2299015 2758818 3678424 4138227 4598030 5517636 6897045 8276454 9196060 10575469 11035272 12414681 13794090 16552908 18392120 20691135 21150938 24829362 27588180 31726407 33105816 41382270 42301876 49658724 52877345 55176360 62073405 63452814 82764540 84603752 95179221 99317448 105754690 124146810 126905628 158632035 165529080 190358442 211509380 248293620 253811256 285537663 317264070 380716884 423018760 475896105 496587240 571075326 634528140 761433768 951792210 1142150652 1269056280 1427688315 1903584420 2284301304 2855376630 3807168840 5710753260 11421506520