Search a number
-
+
102009757712 = 246375609857
BaseRepresentation
bin101111100000001000…
…0010110000000010000
3100202022020100121112112
41133000100112000100
53132403444221322
6114510155044452
710240616430302
oct1370020260020
9322266317475
10102009757712
113a297937895
121792aa40728
139808cc22a5
144d19d39972
1529c08c85e2
hex17c0416010

102009757712 has 10 divisors (see below), whose sum is σ = 197643905598. Its totient is φ = 51004878848.

The previous prime is 102009757673. The next prime is 102009757763. The reversal of 102009757712 is 217757900201.

It is a happy number.

102009757712 is digitally balanced in base 3, 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 only one way, i.e., 62788331776 + 39221425936 = 250576^2 + 198044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102009757712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3187804913 + ... + 3187804944.

Almost surely, 2102009757712 is an apocalyptic number.

It is an amenable number.

102009757712 is a deficient number, since it is larger than the sum of its proper divisors (95634147886).

102009757712 is an equidigital number, since it uses as much as digits as its factorization.

102009757712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375609865 (or 6375609859 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 41.

The spelling of 102009757712 in words is "one hundred two billion, nine million, seven hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 6375609857 12751219714 25502439428 51004878856 102009757712