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11863863804816 = 2432192151072
BaseRepresentation
bin1010110010100100010101…
…1000110100001110010000
31120000011201001210211211100
42230221011120310032100
53023334143113223231
641122103410544400
72333064414314202
oct254510530641620
946004631724740
1011863863804816
113864488911491
1213b7367b98100
136809b0474a3a
142d02dd5b0772
151589165201e6
hexaca45634390

11863863804816 has 135 divisors (see below), whose sum is σ = 35044125671451. Its totient is φ = 3746235310272.

The previous prime is 11863863804811. The next prime is 11863863804823. The reversal of 11863863804816 is 61840836836811.

The square root of 11863863804816 is 3444396.

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

11863863804816 is a `hidden beast` number, since 1 + 18 + 6 + 3 + 8 + 63 + 80 + 481 + 6 = 666.

It is a super-2 number, since 2×118638638048162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11863863804811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 785314735 + ... + 785329841.

Almost surely, 211863863804816 is an apocalyptic number.

11863863804816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11863863804816 is the 3444396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11863863804816

11863863804816 is an abundant number, since it is smaller than the sum of its proper divisors (23180261866635).

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

11863863804816 is an frugal number, since it uses more digits than its factorization.

11863863804816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30266 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 11863863804816 in words is "eleven trillion, eight hundred sixty-three billion, eight hundred sixty-three million, eight hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 15107 17328 25992 30214 45321 51984 60428 90642 120856 135963 181284 241712 271926 287033 362568 543852 574066 725136 861099 1087704 1148132 1722198 2175408 2296264 2583297 3444396 4592528 5166594 5453627 6888792 10333188 10907254 13777584 16360881 20666376 21814508 32721762 41332752 43629016 49082643 65443524 87258032 98165286 130887048 196330572 228221449 261774096 392661144 456442898 684664347 785322288 912885796 1369328694 1825771592 2053993041 2738657388 3651543184 4107986082 4336207531 5477314776 8215972164 8672415062 10954629552 13008622593 16431944328 17344830124 26017245186 32863888656 34689660248 39025867779 52034490372 69379320496 78051735558 82387943089 104068980744 156103471116 164775886178 208137961488 247163829267 312206942232 329551772356 494327658534 624413884464 659103544712 741491487801 988655317068 1318207089424 1482982975602 1977310634136 2965965951204 3954621268272 5931931902408 11863863804816