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772225315472 = 24134190551749
BaseRepresentation
bin10110011110011000011…
…01110011001010010000
32201211020201011120120002
423033030031303022100
5100123004140043342
61350431100305132
7106535314610252
oct13171415631220
92654221146502
10772225315472
11278554071166
121057b48421a8
1357a8893a8c0
14295396a7cd2
1515149c35d32
hexb3cc373290

772225315472 has 40 divisors (see below), whose sum is σ = 1650577299000. Its totient is φ = 347718712320.

The previous prime is 772225315417. The next prime is 772225315517. The reversal of 772225315472 is 274513522277.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66820182016 + 705405133456 = 258496^2 + 839884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45267347 + ... + 45284402.

It is an arithmetic number, because the mean of its divisors is an integer number (41264432475).

Almost surely, 2772225315472 is an apocalyptic number.

It is an amenable number.

772225315472 is an abundant number, since it is smaller than the sum of its proper divisors (878351983528).

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

772225315472 is a wasteful number, since it uses less digits than its factorization.

772225315472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90551811 (or 90551805 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 47.

The spelling of 772225315472 in words is "seven hundred seventy-two billion, two hundred twenty-five million, three hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 90551749 181103498 362206996 724413992 1177172737 1448827984 2354345474 3712621709 4708690948 7425243418 9417381896 14850486836 18834763792 29700973672 48264082217 59401947344 96528164434 193056328868 386112657736 772225315472