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4072766944 = 257313113309
BaseRepresentation
bin1111001011000001…
…0111110111100000
3101111211121222221011
43302300113313200
531320112020234
61512045310304
7202632643051
oct36260276740
911454558834
104072766944
1117aaa750a4
12957b65394
134cba1b78c
142a8c96728
1518c84ab64
hexf2c17de0

4072766944 has 48 divisors (see below), whose sum is σ = 8190761040. Its totient is φ = 1993006080.

The previous prime is 4072766941. The next prime is 4072766953. The reversal of 4072766944 is 4496672704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072766941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 299362 + ... + 312670.

It is an arithmetic number, because the mean of its divisors is an integer number (170640855).

Almost surely, 24072766944 is an apocalyptic number.

It is an amenable number.

4072766944 is an abundant number, since it is smaller than the sum of its proper divisors (4117994096).

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

4072766944 is a wasteful number, since it uses less digits than its factorization.

4072766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The square root of 4072766944 is about 63818.2336327166. The cubic root of 4072766944 is about 1596.9691247473.

The spelling of 4072766944 in words is "four billion, seventy-two million, seven hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 73 131 146 262 292 524 584 1048 1168 2096 2336 4192 9563 13309 19126 26618 38252 53236 76504 106472 153008 212944 306016 425888 971557 1743479 1943114 3486958 3886228 6973916 7772456 13947832 15544912 27895664 31089824 55791328 127273967 254547934 509095868 1018191736 2036383472 4072766944