Search a number
-
+
5348815968 = 253235345707
BaseRepresentation
bin1001111101101000…
…00111010001100000
3111210202202000010010
410332310013101200
541423244102333
62242431404520
7246356120436
oct47664072140
914722660103
105348815968
1122a52a3671
121053383740
136731bbb82
1438a540d56
152148a9563
hex13ed07460

5348815968 has 96 divisors (see below), whose sum is σ = 14927867136. Its totient is φ = 1673205248.

The previous prime is 5348815963. The next prime is 5348815973. The reversal of 5348815968 is 8695188435.

It is an interprime number because it is at equal distance from previous prime (5348815963) and next prime (5348815973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348815963) 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, 94171 + ... + 139877.

It is an arithmetic number, because the mean of its divisors is an integer number (155498616).

Almost surely, 25348815968 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 5348815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463933568).

5348815968 is an abundant number, since it is smaller than the sum of its proper divisors (9579051168).

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

5348815968 is a wasteful number, since it uses less digits than its factorization.

5348815968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45796 (or 45788 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 57.

The square root of 5348815968 is about 73135.5998676431. The cubic root of 5348815968 is about 1748.8499620068.

The spelling of 5348815968 in words is "five billion, three hundred forty-eight million, eight hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 636 736 848 1104 1219 1272 1696 2208 2438 2544 3657 4876 5088 7314 9752 14628 19504 29256 39008 45707 58512 91414 117024 137121 182828 274242 365656 548484 731312 1051261 1096968 1462624 2102522 2193936 2422471 3153783 4205044 4387872 4844942 6307566 7267413 8410088 9689884 12615132 14534826 16820176 19379768 25230264 29069652 33640352 38759536 50460528 55716833 58139304 77519072 100921056 111433666 116278608 167150499 222867332 232557216 334300998 445734664 668601996 891469328 1337203992 1782938656 2674407984 5348815968