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967968693316 = 22292169632
BaseRepresentation
bin11100001010111110110…
…11100001110001000100
310102112111101212110012001
432011133123201301010
5111324344441141231
62020402332235044
7126635111065162
oct16053733416104
93375441773161
10967968693316
11343571102109
1213772290ba84
1370382117731
1434bc8314232
151a2a4643b61
hexe15f6e1c44

967968693316 has 27 divisors (see below), whose sum is σ = 1754474750301. Its totient is φ = 467267683344.

The previous prime is 967968693277. The next prime is 967968693343. The reversal of 967968693316 is 613396869769.

The square root of 967968693316 is 983854.

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

967968693316 is digitally balanced in base 2, 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., 507579302916 + 460389390400 = 712446^2 + 678520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57055051 + ... + 57072013.

Almost surely, 2967968693316 is an apocalyptic number.

967968693316 is the 983854-th square number.

It is an amenable number.

967968693316 is a deficient number, since it is larger than the sum of its proper divisors (786506056985).

967968693316 is an frugal number, since it uses more digits than its factorization.

967968693316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33988 (or 16994 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 73.

The spelling of 967968693316 in words is "nine hundred sixty-seven billion, nine hundred sixty-eight million, six hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 4 29 58 116 841 1682 3364 16963 33926 67852 491927 983854 1967708 14265883 28531766 57063532 287743369 575486738 1150973476 8344557701 16689115402 33378230804 241992173329 483984346658 967968693316