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2434772864 = 27374112539
BaseRepresentation
bin1001000100011111…
…1010111110000000
320021200110021110202
42101013322332000
514441300212424
61041333344332
7114223141106
oct22107727600
96250407422
102434772864
11103a402987
1257b4980a8
132ca572204
14191511c76
15e3b442ae
hex911faf80

2434772864 has 64 divisors (see below), whose sum is σ = 5103529200. Its totient is φ = 1155502080.

The previous prime is 2434772863. The next prime is 2434772867. The reversal of 2434772864 is 4682774342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434772863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187907 + ... + 200445.

Almost surely, 22434772864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551764600).

2434772864 is an abundant number, since it is smaller than the sum of its proper divisors (2668756336).

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

2434772864 is a wasteful number, since it uses less digits than its factorization.

2434772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12619 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 47.

The square root of 2434772864 is about 49343.4176359927. The cubic root of 2434772864 is about 1345.3010596413.

The spelling of 2434772864 in words is "two billion, four hundred thirty-four million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 4736 5248 6068 12136 12539 24272 25078 48544 50156 97088 100312 194176 200624 401248 463943 514099 802496 927886 1028198 1604992 1855772 2056396 3711544 4112792 7423088 8225584 14846176 16451168 19021663 29692352 32902336 38043326 59384704 65804672 76086652 152173304 304346608 608693216 1217386432 2434772864