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12818651181940 = 22517116773228733
BaseRepresentation
bin1011101010001001001100…
…1001100111001101110100
31200101110011211201001111101
42322202103021213031310
53140010044200310230
643132450154015444
72462055061155202
oct272422311471564
950343154631441
1012818651181940
1140a23a545764a
121530410417584
1371ca41775796
143245d703c072
15173698848aca
hexba893267374

12818651181940 has 48 divisors (see below), whose sum is σ = 28505097672912. Its totient is φ = 4825430378496.

The previous prime is 12818651181913. The next prime is 12818651181943. The reversal of 12818651181940 is 4918115681821.

12818651181940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 956495736036 + 11862155445904 = 978006^2 + 3444148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12818651181943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2355814 + ... + 5584546.

It is an arithmetic number, because the mean of its divisors is an integer number (593856201519).

Almost surely, 212818651181940 is an apocalyptic number.

12818651181940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12818651181940 is an abundant number, since it is smaller than the sum of its proper divisors (15686446490972).

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

12818651181940 is a wasteful number, since it uses less digits than its factorization.

12818651181940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240436 (or 3240434 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 55.

The spelling of 12818651181940 in words is "twelve trillion, eight hundred eighteen billion, six hundred fifty-one million, one hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 11677 23354 46708 58385 116770 198509 233540 397018 794036 992545 1985090 3228733 3970180 6457466 12914932 16143665 32287330 54888461 64574660 109776922 219553844 274442305 548884610 1097769220 37701915241 75403830482 150807660964 188509576205 377019152410 640932559097 754038304820 1281865118194 2563730236388 3204662795485 6409325590970 12818651181940