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11128670656 = 2629311271523
BaseRepresentation
bin10100101110101001…
…00000100111000000
31001201120120001012021
422113110200213000
5140242414430111
65040142011224
7542531065645
oct122724404700
931646501167
1011128670656
1147a0931a84
1221a6b76b14
13108479902c
14778005dcc
15452008d71
hex2975209c0

11128670656 has 112 divisors (see below), whose sum is σ = 23783178240. Its totient is φ = 5154831360.

The previous prime is 11128670629. The next prime is 11128670699. The reversal of 11128670656 is 65607682111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7306311 + ... + 7307833.

Almost surely, 211128670656 is an apocalyptic number.

11128670656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891589120).

11128670656 is an abundant number, since it is smaller than the sum of its proper divisors (12654507584).

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

11128670656 is a wasteful number, since it uses less digits than its factorization.

11128670656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

It can be divided in two parts, 1112 and 8670656, that added together give a palindrome (8671768).

The spelling of 11128670656 in words is "eleven billion, one hundred twenty-eight million, six hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 127 232 248 254 464 496 508 899 928 992 1016 1523 1798 1856 1984 2032 3046 3596 3683 3937 4064 6092 7192 7366 7874 8128 12184 14384 14732 15748 24368 28768 29464 31496 44167 47213 48736 57536 58928 62992 88334 94426 97472 114173 117856 125984 176668 188852 193421 228346 235712 251968 353336 377704 386842 456692 706672 755408 773684 913384 1369177 1413344 1510816 1547368 1826768 2738354 2826688 3021632 3094736 3653536 5476708 5609209 5996051 6189472 7307072 10953416 11218418 11992102 12378944 21906832 22436836 23984204 43813664 44873672 47968408 87627328 89747344 95936816 173885479 179494688 191873632 347770958 358989376 383747264 695541916 1391083832 2782167664 5564335328 11128670656