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2964075136 = 27112391529
BaseRepresentation
bin1011000010101100…
…0011001010000000
321122120102121200121
42300223003022000
522032300401021
61210042230024
7133311136321
oct26053031200
97576377617
102964075136
111291163580
126a87b5314
13383116819
14201934448
15125349741
hexb0ac3280

2964075136 has 64 divisors (see below), whose sum is σ = 6721963200. Its totient is φ = 1288714240.

The previous prime is 2964075131. The next prime is 2964075173. The reversal of 2964075136 is 6315704692.

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

It is a junction number, because it is equal to n+sod(n) for n = 2964075092 and 2964075101.

It is not an unprimeable number, because it can be changed into a prime (2964075131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13381 + ... + 78148.

It is an arithmetic number, because the mean of its divisors is an integer number (105030675).

Almost surely, 22964075136 is an apocalyptic number.

It is an amenable number.

2964075136 is an abundant number, since it is smaller than the sum of its proper divisors (3757888064).

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

2964075136 is a wasteful number, since it uses less digits than its factorization.

2964075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91577 (or 91565 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 2964075136 is about 54443.3203983739. The cubic root of 2964075136 is about 1436.4694786873.

The spelling of 2964075136 in words is "two billion, nine hundred sixty-four million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 91529 183058 366116 732232 1006819 1464464 2013638 2105167 2928928 4027276 4210334 5857856 8054552 8420668 11715712 16109104 16841336 23156837 32218208 33682672 46313674 64436416 67365344 92627348 128872832 134730688 185254696 269461376 370509392 741018784 1482037568 2964075136