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11456124020 = 22511296917539
BaseRepresentation
bin10101010101101011…
…01001010001110100
31002120101201101202122
422222311221101310
5141430231432040
65132440255112
7553615306325
oct125265512164
932511641678
1011456124020
1149497575a0
122278771498
131107589913
147a96c444c
15470b3c1b5
hex2aad69474

11456124020 has 48 divisors (see below), whose sum is σ = 26255275200. Its totient is φ = 4164222720.

The previous prime is 11456123969. The next prime is 11456124079. The reversal of 11456124020 is 2042165411.

11456124020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 644411 + ... + 661949.

It is an arithmetic number, because the mean of its divisors is an integer number (546984900).

Almost surely, 211456124020 is an apocalyptic number.

11456124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456124020 is an abundant number, since it is smaller than the sum of its proper divisors (14799151180).

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

11456124020 is a wasteful number, since it uses less digits than its factorization.

11456124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11456124020 its reverse (2042165411), we get a palindrome (13498289431).

The spelling of 11456124020 in words is "eleven billion, four hundred fifty-six million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2969 5938 11876 14845 17539 29690 32659 35078 59380 65318 70156 87695 130636 163295 175390 192929 326590 350780 385858 653180 771716 964645 1929290 3858580 52073291 104146582 208293164 260366455 520732910 572806201 1041465820 1145612402 2291224804 2864031005 5728062010 11456124020