Search a number
-
+
11045664435344 = 2471151191751443
BaseRepresentation
bin1010000010111100010011…
…1001111010110010010000
31110002221210100100100022112
42200233010321322302100
52421433010043412334
635254150322524452
72220010601400020
oct240570471726220
943087710310275
1011045664435344
113579492683080
1212a4882806728
136217a8ba17b6
142a2882161a80
151424ca5e24ce
hexa0bc4e7ac90

11045664435344 has 80 divisors (see below), whose sum is σ = 26686962401280. Its totient is φ = 4302662474880.

The previous prime is 11045664435317. The next prime is 11045664435359. The reversal of 11045664435344 is 44353446654011.

It is a junction number, because it is equal to n+sod(n) for n = 11045664435292 and 11045664435301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430887 + ... + 7182329.

It is an arithmetic number, because the mean of its divisors is an integer number (333587030016).

Almost surely, 211045664435344 is an apocalyptic number.

11045664435344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11045664435344 is an abundant number, since it is smaller than the sum of its proper divisors (15641297965936).

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

11045664435344 is a wasteful number, since it uses less digits than its factorization.

11045664435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756588 (or 1756582 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 11045664435344 in words is "eleven trillion, forty-five billion, six hundred sixty-four million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 5119 10238 20476 35833 40952 56309 71666 81904 112618 143332 225236 286664 394163 450472 573328 788326 900944 1576652 1751443 3153304 3502886 6306608 7005772 12260101 14011544 19265873 24520202 28023088 38531746 49040404 77063492 98080808 134861111 154126984 196161616 269722222 308253968 539444444 1078888888 2157777776 8965636717 17931273434 35862546868 62759457019 71725093736 98622003887 125518914038 143450187472 197244007774 251037828076 394488015548 502075656152 690354027209 788976031096 1004151312304 1380708054418 1577952062192 2761416108836 5522832217672 11045664435344