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2665903128 = 2337191251331
BaseRepresentation
bin1001111011100110…
…0111010000011000
320212210100220120220
42132321213100120
520424432400003
61120311320040
7123030542220
oct23671472030
96783326526
102665903128
111148918529
12624980020
13336408a95
141b40b9080
1510909c353
hex9ee67418

2665903128 has 128 divisors (see below), whose sum is σ = 7710474240. Its totient is φ = 752400000.

The previous prime is 2665903117. The next prime is 2665903153. The reversal of 2665903128 is 8213095662.

2665903128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2665903128.

It is a congruent number.

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, 8053923 + ... + 8054253.

It is an arithmetic number, because the mean of its divisors is an integer number (60238080).

Almost surely, 22665903128 is an apocalyptic number.

2665903128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2665903128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855237120).

2665903128 is an abundant number, since it is smaller than the sum of its proper divisors (5044571112).

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

2665903128 is a wasteful number, since it uses less digits than its factorization.

2665903128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2665903128 is about 51632.3844888070. The cubic root of 2665903128 is about 1386.5901840315.

The spelling of 2665903128 in words is "two billion, six hundred sixty-five million, nine hundred three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 251 331 382 502 573 662 753 764 993 1004 1146 1324 1337 1506 1528 1757 1986 2008 2292 2317 2648 2674 3012 3514 3972 4011 4584 4634 5271 5348 6024 6951 7028 7944 8022 9268 10542 10696 13902 14056 16044 18536 21084 27804 32088 42168 47941 55608 63221 83081 95882 126442 143823 166162 189663 191764 249243 252884 287646 332324 335587 379326 383528 442547 498486 505768 575292 581567 664648 671174 758652 885094 996972 1006761 1150584 1163134 1327641 1342348 1517304 1744701 1770188 1993944 2013522 2326268 2655282 2684696 3489402 3540376 4027044 4652536 5310564 6978804 8054088 10621128 13957608 15868471 31736942 47605413 63473884 95210826 111079297 126947768 190421652 222158594 333237891 380843304 444317188 666475782 888634376 1332951564 2665903128