Search a number
-
+
10079763984 = 2433231014469
BaseRepresentation
bin10010110001100110…
…01111111000010000
3222000110212001202000
421120303033320100
5131120404421414
64344112154000
7504533403003
oct113063177020
928013761660
1010079763984
114302844964
121b53838900
13c483972b4
146b89a753a
153dedb6b09
hex258ccfe10

10079763984 has 80 divisors (see below), whose sum is σ = 30190627200. Its totient is φ = 3213834624.

The previous prime is 10079763979. The next prime is 10079763989. The reversal of 10079763984 is 48936797001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10079763979) and next prime (10079763989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10079763984.

It is not an unprimeable number, because it can be changed into a prime (10079763989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497299 + ... + 517170.

It is an arithmetic number, because the mean of its divisors is an integer number (377382840).

Almost surely, 210079763984 is an apocalyptic number.

It is an amenable number.

10079763984 is an abundant number, since it is smaller than the sum of its proper divisors (20110863216).

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

10079763984 is a wasteful number, since it uses less digits than its factorization.

10079763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014509 (or 1014497 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10079763984 in words is "ten billion, seventy-nine million, seven hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 1014469 2028938 3043407 4057876 6086814 8115752 9130221 12173628 16231504 18260442 23332787 24347256 27390663 36520884 46665574 48694512 54781326 69998361 73041768 93331148 109562652 139996722 146083536 186662296 209995083 219125304 279993444 373324592 419990166 438250608 559986888 629985249 839980332 1119973776 1259970498 1679960664 2519940996 3359921328 5039881992 10079763984