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2493757948194 = 23219329696503
BaseRepresentation
bin100100010010011111100…
…011101000000100100010
322211101211021112110212200
4210102133203220010202
5311324204013320234
65145341103234030
7345111434546562
oct44223743500442
98741737473780
102493757948194
11881662393387
123433825a8916
13151211427666
14889aca96da2
1544d05b13d99
hex2449f8e8122

2493757948194 has 96 divisors (see below), whose sum is σ = 5899946083200. Its totient is φ = 760346159328.

The previous prime is 2493757948189. The next prime is 2493757948207. The reversal of 2493757948194 is 4918497573942.

2493757948194 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 7 + 57 + 9 + 481 + 94 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232147 + ... + 3928649.

It is an arithmetic number, because the mean of its divisors is an integer number (61457771700).

Almost surely, 22493757948194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493757948194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949973041600).

2493757948194 is an abundant number, since it is smaller than the sum of its proper divisors (3406188135006).

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

2493757948194 is a wasteful number, since it uses less digits than its factorization.

2493757948194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696597 (or 696556 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 2493757948194 in words is "two trillion, four hundred ninety-three billion, seven hundred fifty-seven million, nine hundred forty-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 1083 1102 1653 2166 3249 3306 4959 6498 6859 9918 10469 13718 20577 20938 31407 41154 61731 62814 94221 123462 188442 198911 397822 596733 696503 1193466 1393006 1790199 2089509 3580398 4179018 6268527 12537054 13233557 20198587 26467114 39700671 40397174 60595761 79401342 119102013 121191522 181787283 238204026 251437583 363574566 383773153 502875166 754312749 767546306 1151319459 1508625498 2262938247 2302638918 3453958377 4525876494 4777314077 6907916754 7291689907 9554628154 14331942231 14583379814 21875069721 28663884462 42995826693 43750139442 65625209163 85991653386 131250418326 138542108233 277084216466 415626324699 831252649398 1246878974097 2493757948194