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3110780064 = 25373124817
BaseRepresentation
bin1011100101101010…
…1011110010100000
322000210111000000110
42321122223302200
522332324430224
61232402451320
7140042123430
oct27132536240
98023430013
103110780064
111356a55117
12729963b40
133a7630982
142172022c0
15133177929
hexb96abca0

3110780064 has 144 divisors (see below), whose sum is σ = 9645096384. Its totient is φ = 859944960.

The previous prime is 3110780059. The next prime is 3110780083. The reversal of 3110780064 is 4600870113.

It is a happy number.

3110780064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643384 + ... + 648200.

It is an arithmetic number, because the mean of its divisors is an integer number (66979836).

Almost surely, 23110780064 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 3110780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822548192).

3110780064 is an abundant number, since it is smaller than the sum of its proper divisors (6534316320).

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

3110780064 is a wasteful number, since it uses less digits than its factorization.

3110780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 3110780064 is about 55774.3674459872. The cubic root of 3110780064 is about 1459.7879319179.

The spelling of 3110780064 in words is "three billion, one hundred ten million, seven hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 961 992 1302 1488 1736 1922 2604 2883 2976 3472 3844 4817 5208 5766 6727 6944 7688 9634 10416 11532 13454 14451 15376 19268 20181 20832 23064 26908 28902 30752 33719 38536 40362 46128 53816 57804 67438 77072 80724 92256 101157 107632 115608 134876 149327 154144 161448 202314 215264 231216 269752 298654 322896 404628 447981 462432 539504 597308 645792 809256 895962 1045289 1079008 1194616 1618512 1791924 2090578 2389232 3135867 3237024 3583848 4181156 4629137 4778464 6271734 7167696 8362312 9258274 12543468 13887411 14335392 16724624 18516548 25086936 27774822 32403959 33449248 37033096 50173872 55549644 64807918 74066192 97211877 100347744 111099288 129615836 148132384 194423754 222198576 259231672 388847508 444397152 518463344 777695016 1036926688 1555390032 3110780064