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5133965312 = 21171572281
BaseRepresentation
bin1001100100000001…
…00001100000000000
3111020210110110102102
410302000201200000
541003243342222
62205234405532
7241136661620
oct46200414000
914223413372
105133965312
1121a4a98143
12bb34308a8
1363a8351c8
14369bb4880
15200ab9d92
hex132021800

5133965312 has 96 divisors (see below), whose sum is σ = 11811814560. Its totient is φ = 2185297920.

The previous prime is 5133965293. The next prime is 5133965321. The reversal of 5133965312 is 2135693315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2249612 + ... + 2251892.

It is an arithmetic number, because the mean of its divisors is an integer number (123039735).

Almost surely, 25133965312 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 5133965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905907280).

5133965312 is an abundant number, since it is smaller than the sum of its proper divisors (6677849248).

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

5133965312 is a wasteful number, since it uses less digits than its factorization.

5133965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2447 counting only the distinct ones).

The product of its digits is 72900, while the sum is 38.

The square root of 5133965312 is about 71651.6944112280. The cubic root of 5133965312 is about 1725.1133790352.

The spelling of 5133965312 in words is "five billion, one hundred thirty-three million, nine hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 512 628 896 1024 1099 1256 1792 2048 2198 2281 2512 3584 4396 4562 5024 7168 8792 9124 10048 14336 15967 17584 18248 20096 31934 35168 36496 40192 63868 70336 72992 80384 127736 140672 145984 160768 255472 281344 291968 321536 358117 510944 562688 583936 716234 1021888 1125376 1167872 1432468 2043776 2250752 2335744 2506819 2864936 4087552 4671488 5013638 5729872 8175104 10027276 11459744 16350208 20054552 22919488 32700416 40109104 45838976 80218208 91677952 160436416 183355904 320872832 366711808 641745664 733423616 1283491328 2566982656 5133965312