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816820284812 = 227476171005971
BaseRepresentation
bin10111110001011100100…
…10000110110110001100
32220002100121110202000012
423320232102012312030
5101340321443103222
61423124141252352
7113004365602160
oct13705622066614
92802317422005
10816820284812
11295458835724
1211237b5640b8
135c04496871c
142b76a222ca0
15163a9d1a1e2
hexbe2e486d8c

816820284812 has 48 divisors (see below), whose sum is σ = 1671104590848. Its totient is φ = 342061991040.

The previous prime is 816820284751. The next prime is 816820284827. The reversal of 816820284812 is 218482028618.

816820284812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308987 + ... + 1314957.

It is an arithmetic number, because the mean of its divisors is an integer number (34814678976).

Almost surely, 2816820284812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816820284812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835552295424).

816820284812 is an abundant number, since it is smaller than the sum of its proper divisors (854284306036).

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

816820284812 is a wasteful number, since it uses less digits than its factorization.

816820284812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006646 (or 1006644 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 50.

The spelling of 816820284812 in words is "eight hundred sixteen billion, eight hundred twenty million, two hundred eighty-four thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 47 94 188 329 617 658 1234 1316 2468 4319 8638 17276 28999 57998 115996 202993 405986 811972 1005971 2011942 4023884 7041797 14083594 28167188 47280637 94561274 189122548 330964459 620684107 661928918 1241368214 1323857836 2482736428 4344788749 8689577498 17379154996 29172153029 58344306058 116688612116 204205071203 408410142406 816820284812