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1226981566864 = 2431289332
BaseRepresentation
bin10001110110101101110…
…011001110100110010000
311100022001110021201111201
4101312231303032212100
5130100324240114424
62335400105120544
7154434514144204
oct21665563164620
94308043251451
101226981566864
114333a611a689
12179969789154
138b91c5133a1
1443559b2cb04
1521db382dd44
hex11dadcce990

1226981566864 has 45 divisors (see below), whose sum is σ = 2456711902209. Its totient is φ = 593634296640.

The previous prime is 1226981566817. The next prime is 1226981566897. The reversal of 1226981566864 is 4686651896221.

It is a happy number.

The square root of 1226981566864 is 1107692.

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., 313443219600 + 913538347264 = 559860^2 + 955792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1226981566796 and 1226981566805.

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, 137349342 + ... + 137358274.

Almost surely, 21226981566864 is an apocalyptic number.

1226981566864 is the 1107692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226981566864

1226981566864 is an abundant number, since it is smaller than the sum of its proper divisors (1229730335345).

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

1226981566864 is an frugal number, since it uses more digits than its factorization.

1226981566864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17936 (or 8966 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 64.

Multiplying 1226981566864 by its sum of digits (64), we get a square (78526820279296 = 88615362).

The spelling of 1226981566864 in words is "one trillion, two hundred twenty-six billion, nine hundred eighty-one million, five hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 8933 15376 17866 35732 71464 142928 276923 553846 1107692 2215384 4430768 8584613 17169226 34338452 68676904 79798489 137353808 159596978 319193956 638387912 1276775824 2473753159 4947506318 9895012636 19790025272 39580050544 76686347929 153372695858 306745391716 613490783432 1226981566864