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2065765312 = 26135379593
BaseRepresentation
bin111101100100001…
…0001001111000000
312022222002202021101
41323020101033000
513212313442222
6540552304144
7102122500252
oct17310211700
95288082241
102065765312
11970086066
124979a2054
1326bc92550
141584d7cd2
15c1553927
hex7b2113c0

2065765312 has 112 divisors (see below), whose sum is σ = 4562490240. Its totient is φ = 922042368.

The previous prime is 2065765277. The next prime is 2065765313. The reversal of 2065765312 is 2135675602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065765313) 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, 3483288 + ... + 3483880.

It is an arithmetic number, because the mean of its divisors is an integer number (40736520).

Almost surely, 22065765312 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 2065765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281245120).

2065765312 is an abundant number, since it is smaller than the sum of its proper divisors (2496724928).

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

2065765312 is a wasteful number, since it uses less digits than its factorization.

2065765312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 2065765312 is about 45450.6909958474. The cubic root of 2065765312 is about 1273.5822378902.

The spelling of 2065765312 in words is "two billion, sixty-five million, seven hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 79 104 106 158 208 212 316 416 424 593 632 689 832 848 1027 1186 1264 1378 1696 2054 2372 2528 2756 3392 4108 4187 4744 5056 5512 7709 8216 8374 9488 11024 15418 16432 16748 18976 22048 30836 31429 32864 33496 37952 44096 46847 54431 61672 62858 65728 66992 93694 108862 123344 125716 133984 187388 217724 246688 251432 267968 374776 408577 435448 493376 502864 609011 749552 817154 870896 1005728 1218022 1499104 1634308 1741792 2011456 2436044 2482891 2998208 3268616 3483584 4872088 4965782 6537232 9744176 9931564 13074464 19488352 19863128 26148928 32277583 38976704 39726256 64555166 79452512 129110332 158905024 258220664 516441328 1032882656 2065765312