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2788112825106 = 237436857225143
BaseRepresentation
bin101000100100101000011…
…110010111101100010010
3100212112121101011112112220
4220210220132113230102
5331140023340400411
65532501422001510
7405302014662360
oct50445036275422
910775541145486
102788112825106
119854830050a4
12390431416296
13172bc186043b
1498d341a6630
154c7d28d8b06
hex28928797b12

2788112825106 has 64 divisors (see below), whose sum is σ = 6522014619648. Its totient is φ = 777961070208.

The previous prime is 2788112825077. The next prime is 2788112825129. The reversal of 2788112825106 is 6015282118872.

It is a super-2 number, since 2×27881128251062 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12271171 + ... + 12496313.

It is an arithmetic number, because the mean of its divisors is an integer number (101906478432).

Almost surely, 22788112825106 is an apocalyptic number.

2788112825106 is an abundant number, since it is smaller than the sum of its proper divisors (3733901794542).

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

2788112825106 is a wasteful number, since it uses less digits than its factorization.

2788112825106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232055.

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 2788112825106 in words is "two trillion, seven hundred eighty-eight billion, one hundred twelve million, eight hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 6857 13714 20571 41142 47999 95998 143997 225143 287994 294851 450286 589702 675429 884553 1350858 1576001 1769106 2063957 3152002 4127914 4728003 6191871 9456006 9681149 12383742 19362298 29043447 58086894 67768043 135536086 203304129 406608258 1543805551 3087611102 4631416653 9262833306 10806638857 21613277714 32419916571 64839833142 66383638693 132767277386 199150916079 398301832158 464685470851 929370941702 1394056412553 2788112825106