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824380466116 = 224539772
BaseRepresentation
bin10111111111100001110…
…01111010001111000100
32220210212111021202002011
423333300321322033010
5102001312344403431
61430414250224004
7113362626226114
oct13776071721704
92823774252064
10824380466116
11298688310849
1211392b425004
135c97b03809c
142bc8631d044
151669d8d8cb1
hexbff0e7a3c4

824380466116 has 9 divisors (see below), whose sum is σ = 1442668993549. Its totient is φ = 412189325104.

The previous prime is 824380466023. The next prime is 824380466197. The reversal of 824380466116 is 611664083428.

The square root of 824380466116 is 907954.

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., 342611208900 + 481769257216 = 585330^2 + 694096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 824380466116.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1588920 + ... + 2042896.

Almost surely, 2824380466116 is an apocalyptic number.

824380466116 is the 907954-th square number.

It is an amenable number.

824380466116 is a deficient number, since it is larger than the sum of its proper divisors (618288527433).

824380466116 is an frugal number, since it uses more digits than its factorization.

824380466116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907958 (or 453979 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 824380466116 by its sum of digits (49), we get a square (40394642839684 = 63556782).

It can be divided in two parts, 824380 and 466116, that added together give a square (1290496 = 11362).

The spelling of 824380466116 in words is "eight hundred twenty-four billion, three hundred eighty million, four hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 453977 907954 1815908 206095116529 412190233058 824380466116