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812608496704 = 2628124012
BaseRepresentation
bin10111101001100110011…
…11011010010001000000
32212200111002020201220001
423310303033122101000
5101303210233343304
61421150204125344
7112465124153434
oct13646317322100
92780432221801
10812608496704
11293697347a04
121115a4b36854
135b8231c3304
142b48aadc9c4
15162101acda4
hexbd333da440

812608496704 has 63 divisors (see below), whose sum is σ = 1622324584783. Its totient is φ = 403848704000.

The previous prime is 812608496681. The next prime is 812608496759. The reversal of 812608496704 is 407694806218.

It is a happy number.

The square root of 812608496704 is 901448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 470804567104 + 341803929600 = 686152^2 + 584640^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2026454904 + ... + 2026455304.

Almost surely, 2812608496704 is an apocalyptic number.

812608496704 is the 901448-th square number.

It is an amenable number.

812608496704 is a deficient number, since it is larger than the sum of its proper divisors (809716088079).

812608496704 is an frugal number, since it uses more digits than its factorization.

812608496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 812608496704 in words is "eight hundred twelve billion, six hundred eight million, four hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 281 401 562 802 1124 1604 2248 3208 4496 6416 8992 12832 17984 25664 78961 112681 157922 160801 225362 315844 321602 450724 631688 643204 901448 1263376 1286408 1802896 2526752 2572816 3605792 5053504 5145632 7211584 10291264 31663361 45185081 63326722 90370162 126653444 180740324 253306888 361480648 506613776 722961296 1013227552 1445922592 2026455104 2891845184 12697007761 25394015522 50788031044 101576062088 203152124176 406304248352 812608496704