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5384468960 = 255138331189
BaseRepresentation
bin1010000001111000…
…00111100111100000
3111220020211100211022
411000330013213200
542011411001320
62250143505012
7250301142143
oct50074074740
914806740738
105384468960
112313435252
1210632b8168
1367a6c2c10
1439118205a
15217a9d325
hex140f079e0

5384468960 has 96 divisors (see below), whose sum is σ = 13864828320. Its totient is φ = 1964095488.

The previous prime is 5384468959. The next prime is 5384469011. The reversal of 5384468960 is 698644835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157046 + ... + 188234.

It is an arithmetic number, because the mean of its divisors is an integer number (144425295).

Almost surely, 25384468960 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 5384468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932414160).

5384468960 is an abundant number, since it is smaller than the sum of its proper divisors (8480359360).

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

5384468960 is a wasteful number, since it uses less digits than its factorization.

5384468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31300 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The square root of 5384468960 is about 73378.9408481752. The cubic root of 5384468960 is about 1752.7270635236.

The spelling of 5384468960 in words is "five billion, three hundred eighty-four million, four hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 332 415 416 520 664 830 1040 1079 1328 1660 2080 2158 2656 3320 4316 5395 6640 8632 10790 13280 17264 21580 31189 34528 43160 62378 86320 124756 155945 172640 249512 311890 405457 499024 623780 810914 998048 1247560 1621828 2027285 2495120 2588687 3243656 4054570 4990240 5177374 6487312 8109140 10354748 12943435 12974624 16218280 20709496 25886870 32436560 33652931 41418992 51773740 64873120 67305862 82837984 103547480 134611724 168264655 207094960 269223448 336529310 414189920 538446896 673058620 1076893792 1346117240 2692234480 5384468960