Search a number
-
+
82385805978 = 2327743880021
BaseRepresentation
bin100110010111010010…
…0111010001010011010
321212122121102120112100
41030232210322022122
52322211231242403
6101503021424230
75644411540110
oct1145644721232
9255577376470
1082385805978
1131a37704463
1213b72a0b076
1379cc4c0c28
143db7981ab0
152222b8e2a3
hex132e93a29a

82385805978 has 48 divisors (see below), whose sum is σ = 204277746816. Its totient is φ = 23507094240.

The previous prime is 82385805959. The next prime is 82385806001. The reversal of 82385805978 is 87950858328.

82385805978 is a `hidden beast` number, since 8 + 2 + 38 + 5 + 8 + 0 + 597 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346393 + ... + 533628.

It is an arithmetic number, because the mean of its divisors is an integer number (4255786392).

Almost surely, 282385805978 is an apocalyptic number.

82385805978 is an abundant number, since it is smaller than the sum of its proper divisors (121891940838).

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

82385805978 is a wasteful number, since it uses less digits than its factorization.

82385805978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880779 (or 880776 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 82385805978 in words is "eighty-two billion, three hundred eighty-five million, eight hundred five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 743 1486 2229 4458 5201 6687 10402 13374 15603 31206 46809 93618 880021 1760042 2640063 5280126 6160147 7920189 12320294 15840378 18480441 36960882 55441323 110882646 653855603 1307711206 1961566809 3923133618 4576989221 5884700427 9153978442 11769400854 13730967663 27461935326 41192902989 82385805978