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768434572816 = 2437259232
BaseRepresentation
bin10110010111010100100…
…01010000111000010000
32201110110112012220012221
423023222101100320100
5100042223222312231
61345003003430424
7106342345045351
oct13135221207020
92643415186187
10768434572816
11276989313099
12104b17225414
1357603495001
142929a065d28
1514ec7047d11
hexb2ea450e10

768434572816 has 45 divisors (see below), whose sum is σ = 1530426884301. Its totient is φ = 373769919936.

The previous prime is 768434572813. The next prime is 768434572817. The reversal of 768434572816 is 618275434867.

The square root of 768434572816 is 876604.

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., 687605808400 + 80828764416 = 829220^2 + 284304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768434572813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129734431 + ... + 129740353.

Almost surely, 2768434572816 is an apocalyptic number.

768434572816 is the 876604-th square number.

It is an amenable number.

768434572816 is a deficient number, since it is larger than the sum of its proper divisors (761992311485).

768434572816 is an frugal number, since it uses more digits than its factorization.

768434572816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 5962 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 768434572816 in words is "seven hundred sixty-eight billion, four hundred thirty-four million, five hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 5923 10952 11846 21904 23692 47384 94768 219151 438302 876604 1753208 3506416 8108587 16217174 32434348 35081929 64868696 70163858 129737392 140327716 280655432 561310864 1298031373 2596062746 5192125492 10384250984 20768501968 48027160801 96054321602 192108643204 384217286408 768434572816