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2002766492142 = 2331322931244197
BaseRepresentation
bin11101001001001110001…
…011110111000111101110
321002110111020111012202000
4131021032023313013232
5230303131210222032
64132020324313130
7264460264204563
oct35111613670756
97073436435660
102002766492142
11702406522329
122841965427a6
13116b2475ba80
146cd1207086a
153716ace8e7c
hex1d24e2f71ee

2002766492142 has 64 divisors (see below), whose sum is σ = 4795039556160. Its totient is φ = 615966602112.

The previous prime is 2002766492131. The next prime is 2002766492147. The reversal of 2002766492142 is 2412946672002.

It is a super-2 number, since 2×20027664921422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002766492147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987588 + ... + 2231784.

It is an arithmetic number, because the mean of its divisors is an integer number (74922493065).

Almost surely, 22002766492142 is an apocalyptic number.

2002766492142 is an abundant number, since it is smaller than the sum of its proper divisors (2792273064018).

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

2002766492142 is a wasteful number, since it uses less digits than its factorization.

2002766492142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246514 (or 1246508 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2002766492142 in words is "two trillion, two billion, seven hundred sixty-six million, four hundred ninety-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 2293 4586 6879 13758 20637 29809 41274 59618 61911 89427 123822 178854 268281 536562 804843 1244197 1609686 2488394 3732591 7465182 11197773 16174561 22395546 32349122 33593319 48523683 67186638 97047366 145571049 291142098 436713147 873426294 2852943721 5705887442 8558831163 17117662326 25676493489 37088268373 51352986978 74176536746 77029480467 111264805119 154058960934 222529610238 333794415357 667588830714 1001383246071 2002766492142