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1129956512 = 252310611447
BaseRepresentation
bin100001101011001…
…1100010010100000
32220202012201221012
41003112130102200
54303232102022
6304042520052
740000320566
oct10326342240
92822181835
101129956512
1152a916063
12276506028
1315013bc29
14aa0d9a36
1569301de2
hex4359c4a0

1129956512 has 48 divisors (see below), whose sum is σ = 2325117312. Its totient is φ = 539531520.

The previous prime is 1129956511. The next prime is 1129956523. The reversal of 1129956512 is 2156599211.

It is a super-2 number, since 2×11299565122 = 2553603438022412288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1129956512.

It is not an unprimeable number, because it can be changed into a prime (1129956511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780173 + ... + 781619.

It is an arithmetic number, because the mean of its divisors is an integer number (48439944).

Almost surely, 21129956512 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 1129956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162558656).

1129956512 is an abundant number, since it is smaller than the sum of its proper divisors (1195160800).

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

1129956512 is a wasteful number, since it uses less digits than its factorization.

1129956512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its digits is 48600, while the sum is 41.

The square root of 1129956512 is about 33614.8257767313. The cubic root of 1129956512 is about 1041.5670754095.

The spelling of 1129956512 in words is "one billion, one hundred twenty-nine million, nine hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1061 1447 2122 2894 4244 5788 8488 11576 16976 23152 24403 33281 33952 46304 48806 66562 97612 133124 195224 266248 390448 532496 780896 1064992 1535267 3070534 6141068 12282136 24564272 35311141 49128544 70622282 141244564 282489128 564978256 1129956512