Search a number
-
+
2493009730764 = 223373789125187
BaseRepresentation
bin100100010001110010111…
…101011001110011001100
322211022220010122002112000
4210101302331121303030
5311321140442341024
65145134534312300
7345054051033630
oct44216275316314
98738803562460
102493009730764
11881309000573
123431b3ab8690
13151122405357
148893b56adc0
1544cb00b9cc9
hex24472f59ccc

2493009730764 has 96 divisors (see below), whose sum is σ = 7586336002560. Its totient is φ = 693037446336.

The previous prime is 2493009730741. The next prime is 2493009730777. The reversal of 2493009730764 is 4670379003942.

2493009730764 is a `hidden beast` number, since 2 + 493 + 0 + 0 + 97 + 3 + 0 + 7 + 64 = 666.

2493009730764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2493009730764.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44534622 + ... + 44590565.

It is an arithmetic number, because the mean of its divisors is an integer number (79024333360).

Almost surely, 22493009730764 is an apocalyptic number.

It is an amenable number.

2493009730764 is an abundant number, since it is smaller than the sum of its proper divisors (5093326271796).

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

2493009730764 is a wasteful number, since it uses less digits than its factorization.

2493009730764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89125244 (or 89125236 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 2493009730764 in words is "two trillion, four hundred ninety-three billion, nine million, seven hundred thirty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 27972 89125187 178250374 267375561 356500748 534751122 623876309 802126683 1069502244 1247752618 1604253366 1871628927 2406380049 2495505236 3208506732 3297631919 3743257854 4812760098 5614886781 6595263838 7486515708 9625520196 9892895757 11229773562 13190527676 16844660343 19785791514 22459547124 23083423433 29678687271 33689320686 39571583028 46166846866 59357374542 67378641372 69250270299 89036061813 92333693732 118714749084 138500540598 178072123626 207750810897 277001081196 356144247252 415501621794 623252432691 831003243588 1246504865382 2493009730764