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3466149648 = 243137970313
BaseRepresentation
bin1100111010011001…
…0011111100010000
322221120011122102220
43032212103330100
524044313242043
61331535341040
7151615533363
oct31646237420
98846148386
103466149648
111519607595
12808981780
13433146c30
1424c4aa0da
15154472483
hexce993f10

3466149648 has 80 divisors (see below), whose sum is σ = 9765208320. Its totient is φ = 1052992512.

The previous prime is 3466149647. The next prime is 3466149679. The reversal of 3466149648 is 8469416643.

3466149648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3466149648.

It is not an unprimeable number, because it can be changed into a prime (3466149647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14140 + ... + 84452.

It is an arithmetic number, because the mean of its divisors is an integer number (122065104).

Almost surely, 23466149648 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 3466149648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882604160).

3466149648 is an abundant number, since it is smaller than the sum of its proper divisors (6299058672).

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

3466149648 is a wasteful number, since it uses less digits than its factorization.

3466149648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70416 (or 70410 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3466149648 is about 58874.0150490860. The cubic root of 3466149648 is about 1513.3838775945.

The spelling of 3466149648 in words is "three billion, four hundred sixty-six million, one hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1264 1896 2054 3081 3792 4108 6162 8216 12324 16432 24648 49296 70313 140626 210939 281252 421878 562504 843756 914069 1125008 1687512 1828138 2742207 3375024 3656276 5484414 5554727 7312552 10968828 11109454 14625104 16664181 21937656 22218908 33328362 43875312 44437816 66656724 72211451 88875632 133313448 144422902 216634353 266626896 288845804 433268706 577691608 866537412 1155383216 1733074824 3466149648