Search a number
-
+
5068102368 = 253710969191
BaseRepresentation
bin1001011100001010…
…10001101011100000
3111002012112021110010
410232011101223200
540334413233433
62154523004520
7236410105440
oct45605215340
914065467403
105068102368
1121708a235a
12b95369740
13629cb4754
1436114c120
151e9e09e63
hex12e151ae0

5068102368 has 96 divisors (see below), whose sum is σ = 15344017920. Its totient is φ = 1434723840.

The previous prime is 5068102327. The next prime is 5068102409. The reversal of 5068102368 is 8632018605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5068102327) and next prime (5068102409).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×50681023682 = 51371323225054414848, which contains 22 as substring.

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, 38653 + ... + 107843.

It is an arithmetic number, because the mean of its divisors is an integer number (159833520).

Almost surely, 25068102368 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 5068102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672008960).

5068102368 is an abundant number, since it is smaller than the sum of its proper divisors (10275915552).

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

5068102368 is a wasteful number, since it uses less digits than its factorization.

5068102368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69320 (or 69312 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5068102368 is about 71190.6058971266. The cubic root of 5068102368 is about 1717.7045239510.

The spelling of 5068102368 in words is "five billion, sixty-eight million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 69191 73248 138382 207573 276764 415146 484337 553528 830292 968674 1107056 1453011 1660584 1937348 2214112 2906022 3321168 3874696 5812044 6642336 7541819 7749392 11624088 15083638 15498784 22625457 23248176 30167276 45250914 46496352 52792733 60334552 90501828 105585466 120669104 158378199 181003656 211170932 241338208 316756398 362007312 422341864 633512796 724014624 844683728 1267025592 1689367456 2534051184 5068102368