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13770606243060 = 22325293079856787
BaseRepresentation
bin1100100001100011100000…
…0101111110110011110100
31210202110100020002201000200
43020120320011332303310
53301104200144234220
645142043522440500
72620615313525142
oct310307005766364
953673306081020
1013770606243060
11442a099252887
121664a04203130
1378b7410430b4
14358702672592
1518d3121a2890
hexc863817ecf4

13770606243060 has 144 divisors (see below), whose sum is σ = 43225297315200. Its totient is φ = 3544379741952.

The previous prime is 13770606243013. The next prime is 13770606243083. The reversal of 13770606243060 is 6034260607731.

13770606243060 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 606 + 2 + 4 + 30 + 6 + 0 = 666.

13770606243060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13770606242997 and 13770606243015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15643987 + ... + 16500773.

It is an arithmetic number, because the mean of its divisors is an integer number (300175675800).

Almost surely, 213770606243060 is an apocalyptic number.

13770606243060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13770606243060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612648657600).

13770606243060 is an abundant number, since it is smaller than the sum of its proper divisors (29454691072140).

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

13770606243060 is a wasteful number, since it uses less digits than its factorization.

13770606243060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859910 (or 859905 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 13770606243060 in words is "thirteen trillion, seven hundred seventy billion, six hundred six million, two hundred forty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3079 5220 6158 9237 12316 15395 18474 27711 30790 36948 46185 55422 61580 89291 92370 110844 138555 178582 184740 267873 277110 357164 446455 535746 554220 803619 856787 892910 1071492 1339365 1607238 1713574 1785820 2570361 2678730 3214476 3427148 4018095 4283935 5140722 5357460 7711083 8036190 8567870 10281444 12851805 15422166 16072380 17135740 24846823 25703610 30844332 38555415 49693646 51407220 74540469 77110830 99387292 124234115 149080938 154221660 223621407 248468230 298161876 372702345 447242814 496936460 745404690 894485628 1118107035 1490809380 2236214070 2638047173 4472428140 5276094346 7914141519 10552188692 13190235865 15828283038 23742424557 26380471730 31656566076 39570707595 47484849114 52760943460 76503368017 79141415190 94969698228 118712122785 153006736034 158282830380 229510104051 237424245570 306013472068 382516840085 459020208102 474848491140 688530312153 765033680170 918040416204 1147550520255 1377060624306 1530067360340 2295101040510 2754121248612 3442651560765 4590202081020 6885303121530 13770606243060