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2061052032 = 27313894639
BaseRepresentation
bin111101011011001…
…0010100010000000
312022122020021212110
41322312102202000
513210112131112
6540303255320
7102034440024
oct17266224200
95278207773
102061052032
11968456996
124962aa540
1326b002120
14157a2c384
15c0e2213c
hex7ad92880

2061052032 has 128 divisors (see below), whose sum is σ = 5963328000. Its totient is φ = 626909184.

The previous prime is 2061052031. The next prime is 2061052039. The reversal of 2061052032 is 2302501602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20610520322 = 8495870957222658048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2061052031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441969 + ... + 446607.

It is an arithmetic number, because the mean of its divisors is an integer number (46588500).

Almost surely, 22061052032 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 2061052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981664000).

2061052032 is an abundant number, since it is smaller than the sum of its proper divisors (3902275968).

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

2061052032 is a wasteful number, since it uses less digits than its factorization.

2061052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2061052032 is about 45398.8109095381. The cubic root of 2061052032 is about 1272.6128924099.

Adding to 2061052032 its reverse (2302501602), we get a palindrome (4363553634).

The spelling of 2061052032 in words is "two billion, sixty-one million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 267 312 356 384 416 534 624 712 832 1068 1157 1248 1424 1664 2136 2314 2496 2848 3471 4272 4628 4639 4992 5696 6942 8544 9256 9278 11392 13884 13917 17088 18512 18556 27768 27834 34176 37024 37112 55536 55668 60307 74048 74224 111072 111336 120614 148096 148448 180921 222144 222672 241228 296896 361842 412871 444288 445344 482456 593792 723684 825742 890688 964912 1238613 1447368 1651484 1781376 1929824 2477226 2894736 3302968 3859648 4954452 5367323 5789472 6605936 7719296 9908904 10734646 11578944 13211872 16101969 19817808 21469292 23157888 26423744 32203938 39635616 42938584 52847488 64407876 79271232 85877168 128815752 158542464 171754336 257631504 343508672 515263008 687017344 1030526016 2061052032