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1261113987852 = 2234171072139817
BaseRepresentation
bin10010010110100000010…
…000000101001100001100
311110120011012110100210000
4102112200100011030030
5131130230140102402
62403203041244300
7160053403012515
oct22264020051414
94416135410700
101261113987852
11446920a72774
121844b4633690
1391bcba825b4
1445076d1ba0c
1522c10138c1c
hex125a040530c

1261113987852 has 120 divisors (see below), whose sum is σ = 3523355844624. Its totient is φ = 391945817088.

The previous prime is 1261113987841. The next prime is 1261113987857. The reversal of 1261113987852 is 2587893111621.

1261113987852 is a `hidden beast` number, since 1 + 2 + 611 + 13 + 9 + 8 + 7 + 8 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1261113987857) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 480553 + ... + 1659264.

Almost surely, 21261113987852 is an apocalyptic number.

1261113987852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1261113987852 is an abundant number, since it is smaller than the sum of its proper divisors (2262241856772).

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

1261113987852 is a wasteful number, since it uses less digits than its factorization.

1261113987852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139957 (or 2139946 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 1261113987852 in words is "one trillion, two hundred sixty-one billion, one hundred thirteen million, nine hundred eighty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 107 108 153 162 204 214 306 321 324 428 459 612 642 918 963 1284 1377 1819 1836 1926 2754 2889 3638 3852 5457 5508 5778 7276 8667 10914 11556 16371 17334 21828 32742 34668 49113 65484 98226 147339 196452 294678 589356 2139817 4279634 6419451 8559268 12838902 19258353 25677804 36376889 38516706 57775059 72753778 77033412 109130667 115550118 145507556 173325177 218261334 228960419 231100236 327392001 346650354 436522668 457920838 654784002 686881257 693300708 915841676 982176003 1309568004 1373762514 1964352006 2060643771 2747525028 2946528009 3892327123 3928704012 4121287542 5893056018 6181931313 7784654246 8242575084 11676981369 11786112036 12363862626 15569308492 18545793939 23353962738 24727725252 35030944107 37091587878 46707925476 70061888214 74183175756 105092832321 140123776428 210185664642 315278496963 420371329284 630556993926 1261113987852