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11463520440 = 2335671425811
BaseRepresentation
bin10101010110100011…
…10111000010111000
31002120220122011202010
422223101313002320
5141434130123230
65133303005520
7554035213251
oct125321670270
932526564663
1011463520440
114952949639
12227b1398a0
131108c793b8
147aa68bb28
154715ed9b0
hex2ab4770b8

11463520440 has 64 divisors (see below), whose sum is σ = 34903877760. Its totient is φ = 3011310720.

The previous prime is 11463520433. The next prime is 11463520441. The reversal of 11463520440 is 4402536411.

11463520440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11463520398 and 11463520407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11463520441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 704866 + ... + 720945.

It is an arithmetic number, because the mean of its divisors is an integer number (545373090).

Almost surely, 211463520440 is an apocalyptic number.

11463520440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11463520440 is an abundant number, since it is smaller than the sum of its proper divisors (23440357320).

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

11463520440 is a wasteful number, since it uses less digits than its factorization.

11463520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425892 (or 1425888 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 11463520440 in words is "eleven billion, four hundred sixty-three million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 1425811 2851622 4277433 5703244 7129055 8554866 11406488 14258110 17109732 21387165 28516220 34219464 42774330 57032440 85548660 95529337 171097320 191058674 286588011 382117348 477646685 573176022 764234696 955293370 1146352044 1432940055 1910586740 2292704088 2865880110 3821173480 5731760220 11463520440