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2945875512 = 2332319127941
BaseRepresentation
bin1010111110010110…
…0111111000111000
321121022011222111110
42233211213320320
522013121004022
61204152200320
7133000346226
oct25745477070
97538158443
102945875512
111281962968
126a26990a0
1337c413a08
141dd357b16
1512395200c
hexaf967e38

2945875512 has 64 divisors (see below), whose sum is σ = 7725404160. Its totient is φ = 934313600.

The previous prime is 2945875453. The next prime is 2945875579. The reversal of 2945875512 is 2155785492.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91462 + ... + 119402.

It is an arithmetic number, because the mean of its divisors is an integer number (120709440).

Almost surely, 22945875512 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 2945875512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862702080).

2945875512 is an abundant number, since it is smaller than the sum of its proper divisors (4779528648).

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

2945875512 is a wasteful number, since it uses less digits than its factorization.

2945875512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28160 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 48.

The square root of 2945875512 is about 54275.9201856588. The cubic root of 2945875512 is about 1433.5234338572.

The spelling of 2945875512 in words is "two billion, nine hundred forty-five million, eight hundred seventy-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 764 1146 1528 2292 4393 4584 8786 13179 17572 26358 27941 35144 52716 55882 83823 105432 111764 167646 223528 335292 642643 670584 1285286 1927929 2570572 3855858 5141144 5336731 7711716 10673462 15423432 16010193 21346924 32020386 42693848 64040772 122744813 128081544 245489626 368234439 490979252 736468878 981958504 1472937756 2945875512