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13556696891364 = 2232112557872
BaseRepresentation
bin1100010101000110101000…
…0110100011111111100100
31210000000012111220202001100
43011101222012203333210
53234103103401010424
644455505515000100
72566303405165314
oct305215206437744
953000174822040
1013556696891364
1143573a9a77900
12162b466439030
13774511133103
1434c20d153444
15187992a53dc9
hexc546a1a3fe4

13556696891364 has 81 divisors (see below), whose sum is σ = 37667503135171. Its totient is φ = 4108016328240.

The previous prime is 13556696891359. The next prime is 13556696891369. The reversal of 13556696891364 is 46319869665531.

The square root of 13556696891364 is 3681942.

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

13556696891364 is a `hidden beast` number, since 1 + 3 + 556 + 6 + 9 + 6 + 8 + 9 + 1 + 3 + 64 = 666.

13556696891364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13556696891359) and next prime (13556696891369).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13556696891292 and 13556696891301.

It is not an unprimeable number, because it can be changed into a prime (13556696891369) 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, 242980279 + ... + 243036065.

Almost surely, 213556696891364 is an apocalyptic number.

13556696891364 is the 3681942-nd square number.

It is an amenable number.

13556696891364 is an abundant number, since it is smaller than the sum of its proper divisors (24110806243807).

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

13556696891364 is an frugal number, since it uses more digits than its factorization.

13556696891364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111606 (or 55803 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 13556696891364 in words is "thirteen trillion, five hundred fifty-six billion, six hundred ninety-six million, eight hundred ninety-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 55787 111574 167361 223148 334722 502083 613657 669444 1004166 1227314 1840971 2008332 2454628 3681942 5522913 6750227 7363884 11045826 13500454 20250681 22091652 27000908 40501362 60752043 81002724 121504086 243008172 3112189369 6224378738 9336568107 12448757476 18673136214 28009704321 34234083059 37346272428 56019408642 68468166118 102702249177 112038817284 136936332236 205404498354 308106747531 376574913649 410808996708 616213495062 753149827298 1129724740947 1232426990124 1506299654596 2259449481894 3389174222841 4518898963788 6778348445682 13556696891364