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813082822472 = 232328321672
BaseRepresentation
bin10111101010011111000…
…00110100011101001000
32212201201010202222112002
423311033200310131020
5101310143200304342
61421305230410132
7112512643646414
oct13651740643510
92781633688462
10813082822472
11293910068978
121116b7960948
135b89a55934b
142b4d3acdd44
151623bb53d32
hexbd4f834748

813082822472 has 108 divisors (see below), whose sum is σ = 1622845918995. Its totient is φ = 381880086368.

The previous prime is 813082822373. The next prime is 813082822529. The reversal of 813082822472 is 274228280318.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

813082822472 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., 406541411236 + 406541411236 = 637606^2 + 637606^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=637606.

It is a super-2 number, since 2×8130828224722 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4868759333 + ... + 4868759499.

Almost surely, 2813082822472 is an apocalyptic number.

It is an amenable number.

813082822472 is a deficient number, since it is larger than the sum of its proper divisors (809763096523).

813082822472 is an equidigital number, since it uses as much as digits as its factorization.

813082822472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 813082822472 in words is "eight hundred thirteen billion, eighty-two million, eight hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 23 46 83 92 166 167 184 332 334 529 664 668 1058 1336 1909 2116 3818 3841 4232 6889 7636 7682 13778 13861 15272 15364 27556 27722 27889 30728 43907 55112 55444 55778 87814 88343 110888 111556 158447 175628 176686 223112 316894 318803 351256 353372 633788 637606 641447 706744 1150463 1267576 1275212 1282894 2300926 2314787 2550424 2565788 3644281 4601852 4629574 5131576 7288562 7332469 9203704 9259148 14577124 14664938 14753281 18518296 26460649 29154248 29329876 29506562 52921298 53240101 58659752 59013124 105842596 106480202 118026248 192127321 211685192 212960404 384254642 425920808 608594927 768509284 1217189854 1224522323 1537018568 2434379708 2449044646 4418928383 4868759416 4898089292 8837856766 9796178584 17675713532 35351427064 101635352809 203270705618 406541411236 813082822472