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3545881864 = 23734432917
BaseRepresentation
bin1101001101011001…
…1101110100001000
3100011010012110110221
43103112131310020
524230221204424
61343504315424
7153604333000
oct32326356410
910133173427
103545881864
11155a615588
1282b612b74
13446812465
14258d03000
1515b4719e4
hexd359dd08

3545881864 has 64 divisors (see below), whose sum is σ = 7773552000. Its totient is φ = 1515713472.

The previous prime is 3545881861. The next prime is 3545881883. The reversal of 3545881864 is 4681885453.

It is a happy number.

3545881864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35458818642 = 25146556386888228992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3545881861) 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, 1214134 + ... + 1217050.

It is an arithmetic number, because the mean of its divisors is an integer number (121461750).

Almost surely, 23545881864 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 3545881864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886776000).

3545881864 is an abundant number, since it is smaller than the sum of its proper divisors (4227670136).

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

3545881864 is a wasteful number, since it uses less digits than its factorization.

3545881864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3369 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The square root of 3545881864 is about 59547.3077812927. The cubic root of 3545881864 is about 1524.9001979299.

The spelling of 3545881864 in words is "three billion, five hundred forty-five million, eight hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 443 686 886 1372 1772 2744 2917 3101 3544 5834 6202 11668 12404 20419 21707 23336 24808 40838 43414 81676 86828 142933 151949 163352 173656 285866 303898 571732 607796 1000531 1143464 1215592 1292231 2001062 2584462 4002124 5168924 8004248 9045617 10337848 18091234 36182468 63319319 72364936 126638638 253277276 443235233 506554552 886470466 1772940932 3545881864