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2956904912 = 2413411093181
BaseRepresentation
bin1011000000111110…
…1100100111010000
321122001221022222202
42300033230213100
522023431424122
61205224422332
7133163164013
oct26017544720
97561838882
102956904912
111288106475
126a63179a8
133817a5ca0
142009c937a
151248cee92
hexb03ec9d0

2956904912 has 80 divisors (see below), whose sum is σ = 6380164560. Its totient is φ = 1318809600.

The previous prime is 2956904879. The next prime is 2956904921. The reversal of 2956904912 is 2194096592.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1027587136 + 1929317776 = 32056^2 + 43924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927962 + ... + 931142.

It is an arithmetic number, because the mean of its divisors is an integer number (79752057).

Almost surely, 22956904912 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 2956904912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190082280).

2956904912 is an abundant number, since it is smaller than the sum of its proper divisors (3423259648).

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

2956904912 is a wasteful number, since it uses less digits than its factorization.

2956904912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 2956904912 is about 54377.4301709818. The cubic root of 2956904912 is about 1435.3102498258.

The spelling of 2956904912 in words is "two billion, nine hundred fifty-six million, nine hundred four thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 109 164 208 218 328 436 533 656 872 1066 1417 1744 2132 2834 3181 4264 4469 5668 6362 8528 8938 11336 12724 17876 22672 25448 35752 41353 50896 58097 71504 82706 116194 130421 165412 232388 260842 330824 346729 464776 521684 661648 693458 929552 1043368 1386916 1695473 2086736 2773832 3390946 4507477 5547664 6781892 9014954 13563784 14215889 18029908 27127568 28431778 36059816 56863556 72119632 113727112 184806557 227454224 369613114 739226228 1478452456 2956904912