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5964494688 = 2532236311427
BaseRepresentation
bin1011000111000001…
…01111011101100000
3120101200020201112200
411203200233131200
544203402312223
62423503453200
7300543240225
oct54340573540
916350221480
105964494688
112590890159
1211a55b7200
13740916cc9
1440820994c
1524d972a43
hex16382f760

5964494688 has 144 divisors (see below), whose sum is σ = 17739461376. Its totient is φ = 1897378560.

The previous prime is 5964494633. The next prime is 5964494717. The reversal of 5964494688 is 8864944695.

5964494688 is a `hidden beast` number, since 5 + 9 + 64 + 494 + 6 + 88 = 666.

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

It is a congruent number.

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, 4179031 + ... + 4180457.

It is an arithmetic number, because the mean of its divisors is an integer number (123190704).

Almost surely, 25964494688 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 5964494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869730688).

5964494688 is an abundant number, since it is smaller than the sum of its proper divisors (11774966688).

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

5964494688 is a wasteful number, since it uses less digits than its factorization.

5964494688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2086 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The square root of 5964494688 is about 77230.1410590451. The cubic root of 5964494688 is about 1813.5291975332.

The spelling of 5964494688 in words is "five billion, nine hundred sixty-four million, four hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 631 736 828 1104 1262 1427 1656 1893 2208 2524 2854 3312 3786 4281 5048 5679 5708 6624 7572 8562 10096 11358 11416 12843 14513 15144 17124 20192 22716 22832 25686 29026 30288 32821 34248 43539 45432 45664 51372 58052 60576 65642 68496 87078 90864 98463 102744 116104 130617 131284 136992 174156 181728 196926 205488 232208 261234 262568 295389 348312 393852 410976 464416 522468 525136 590778 696624 787704 900437 1044936 1050272 1181556 1393248 1575408 1800874 2089872 2363112 2701311 3150816 3601748 4179744 4726224 5402622 7203496 8103933 9452448 10805244 14406992 16207866 20710051 21610488 28813984 32415732 41420102 43220976 62130153 64831464 82840204 86441952 124260306 129662928 165680408 186390459 248520612 259325856 331360816 372780918 497041224 662721632 745561836 994082448 1491123672 1988164896 2982247344 5964494688