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755435628964 = 2279255012
BaseRepresentation
bin10101111111000110111…
…10001110100110100100
32200012220121102010112001
422333203132032212210
544334113010111324
61335013051135044
7105402253620022
oct12774336164644
92605817363461
10755435628964
1127141879a195
121024a9a44484
13563113a2c63
14287c58d3712
15149b5c53e44
hexafe378e9a4

755435628964 has 27 divisors (see below), whose sum is σ = 1339201958241. Its totient is φ = 372868782000.

The previous prime is 755435628919. The next prime is 755435628991. The reversal of 755435628964 is 469826534557.

It is a happy number.

The square root of 755435628964 is 869158.

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., 741765342564 + 13670286400 = 861258^2 + 116920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 755435628896 and 755435628905.

It is an unprimeable number.

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, 137324214 + ... + 137329714.

Almost surely, 2755435628964 is an apocalyptic number.

755435628964 is the 869158-th square number.

It is an amenable number.

755435628964 is a deficient number, since it is larger than the sum of its proper divisors (583766329277).

755435628964 is an frugal number, since it uses more digits than its factorization.

755435628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 5582 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 64.

Multiplying 755435628964 by its sum of digits (64), we get a square (48347880253696 = 69532642).

The spelling of 755435628964 in words is "seven hundred fifty-five billion, four hundred thirty-five million, six hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 79 158 316 5501 6241 11002 12482 22004 24964 434579 869158 1738316 30261001 34331741 60522002 68663482 121044004 137326964 2390619079 4781238158 9562476316 188858907241 377717814482 755435628964