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2867928702016 = 2672302412
BaseRepresentation
bin101001101110111101110…
…111110001110001000000
3101011011121212211012011011
4221232331313301301000
5333442004221431031
610033301441130304
7414125642514100
oct51567567616100
911134555735134
102867928702016
11a06310a92834
123a39a7629994
1317a5a17a9781
149cb466d3200
154e904b376b1
hex29bbddf1c40

2867928702016 has 63 divisors (see below), whose sum is σ = 6620415310197. Its totient is φ = 1229071656960.

The previous prime is 2867928702013. The next prime is 2867928702047. The reversal of 2867928702016 is 6102078297682.

It is a happy number.

The square root of 2867928702016 is 1693496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 437322980416 + 2430605721600 = 661304^2 + 1559040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2867928702013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94820656 + ... + 94850896.

Almost surely, 22867928702016 is an apocalyptic number.

2867928702016 is the 1693496-th square number.

It is an amenable number.

2867928702016 is an abundant number, since it is smaller than the sum of its proper divisors (3752486608181).

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

2867928702016 is an frugal number, since it uses more digits than its factorization.

2867928702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60508 (or 30250 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 2867928702016 in words is "two trillion, eight hundred sixty-seven billion, nine hundred twenty-eight million, seven hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 30241 60482 120964 211687 241928 423374 483856 846748 967712 1481809 1693496 1935424 2963618 3386992 5927236 6773984 11854472 13547968 23708944 47417888 94835776 914518081 1829036162 3658072324 6401626567 7316144648 12803253134 14632289296 25606506268 29264578592 44811385969 51213012536 58529157184 89622771938 102426025072 179245543876 204852050144 358491087752 409704100288 716982175504 1433964351008 2867928702016