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11216504464 = 24112292832
BaseRepresentation
bin10100111001000111…
…00100011010010000
31001221200211110112021
422130203210122100
5140432411120324
65053000341224
7544645500124
oct123443443220
931850743467
1011216504464
114836473900
122210474814
131099a3ccb9
1478594b584
15459aa8ae4
hex29c8e4690

11216504464 has 135 divisors (see below), whose sum is σ = 25040970409. Its totient is φ = 4863295360.

The previous prime is 11216504407. The next prime is 11216504473. The reversal of 11216504464 is 46440561211.

The square root of 11216504464 is 105908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5881662864 + 5334841600 = 76692^2 + 73040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135138567 + ... + 135138649.

Almost surely, 211216504464 is an apocalyptic number.

11216504464 is the 105908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216504464

11216504464 is an abundant number, since it is smaller than the sum of its proper divisors (13824465945).

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

11216504464 is an equidigital number, since it uses as much as digits as its factorization.

11216504464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 11216504464 in words is "eleven billion, two hundred sixteen million, five hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 83 88 116 121 166 176 232 242 319 332 464 484 638 664 841 913 968 1276 1328 1682 1826 1936 2407 2552 3364 3509 3652 4814 5104 6728 6889 7018 7304 9251 9628 10043 13456 13778 14036 14608 18502 19256 20086 26477 27556 28072 37004 38512 40172 52954 55112 56144 69803 74008 75779 80344 101761 105908 110224 139606 148016 151558 160688 199781 203522 211816 279212 291247 303116 399562 407044 423632 558424 582494 606232 767833 799124 814088 833569 1116848 1164988 1212464 1535666 1598248 1628176 1667138 2197591 2329976 3071332 3196496 3334276 4395182 4659952 5793649 6142664 6668552 8446163 8790364 11587298 12285328 13337104 16892326 17580728 23174596 24173501 33784652 35161456 46349192 48347002 63730139 67569304 92698384 96694004 127460278 135138608 193388008 254920556 386776016 509841112 701031529 1019682224 1402063058 2804126116 5608252232 11216504464