Search a number
-
+
2064645792 = 2532111934301
BaseRepresentation
bin111101100001111…
…1111111010100000
312022212222212120200
41323003333322200
513212022131132
6540512305200
7102110125326
oct17303777240
95285885520
102064645792
1196a490a40
12497542200
1326b98cb01
141582c5d16
15c13d1d7c
hex7b0ffea0

2064645792 has 144 divisors (see below), whose sum is σ = 6742401120. Its totient is φ = 592704000.

The previous prime is 2064645757. The next prime is 2064645797. The reversal of 2064645792 is 2975464602.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2064645797) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43042 + ... + 77342.

It is an arithmetic number, because the mean of its divisors is an integer number (46822230).

Almost surely, 22064645792 is an apocalyptic number.

2064645792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371200560).

2064645792 is an abundant number, since it is smaller than the sum of its proper divisors (4677755328).

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

2064645792 is a wasteful number, since it uses less digits than its factorization.

2064645792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34347 (or 34336 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2064645792 is about 45438.3735624417. The cubic root of 2064645792 is about 1273.3521281060.

The spelling of 2064645792 in words is "two billion, sixty-four million, six hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 34301 60192 68602 102903 137204 205806 274408 308709 377311 411612 548816 617418 651719 754622 823224 1097632 1131933 1234836 1303438 1509244 1646448 1955157 2263866 2469672 2606876 3018488 3292896 3395799 3910314 4527732 4939344 5213752 5865471 6036976 6791598 7168909 7820628 9055464 9878688 10427504 11730942 12073952 13583196 14337818 15641256 18110928 20855008 21506727 23461884 27166392 28675636 31282512 36221856 43013454 46923768 54332784 57351272 62565024 64520181 86026908 93847536 108665568 114702544 129040362 172053816 187695072 229405088 258080724 344107632 516161448 688215264 1032322896 2064645792