Search a number
-
+
5096838656 = 29713139787
BaseRepresentation
bin1001011111100101…
…11001011000000000
3111011012121020020002
410233302321120000
540414242314111
62201430535132
7240206261630
oct45762713000
914135536202
105096838656
11218603a358
12ba2b074a8
13632c36480
14364cac6c0
151ec6d463b
hex12fcb9600

5096838656 has 160 divisors (see below), whose sum is σ = 12640024320. Its totient is φ = 1999282176.

The previous prime is 5096838647. The next prime is 5096838667. The reversal of 5096838656 is 6568386905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 6475895 + ... + 6476681.

It is an arithmetic number, because the mean of its divisors is an integer number (79000152).

Almost surely, 25096838656 is an apocalyptic number.

5096838656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5096838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320012160).

5096838656 is an abundant number, since it is smaller than the sum of its proper divisors (7543185664).

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

5096838656 is a wasteful number, since it uses less digits than its factorization.

5096838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The square root of 5096838656 is about 71392.1470191225. The cubic root of 5096838656 is about 1720.9448855534.

The spelling of 5096838656 in words is "five billion, ninety-six million, eight hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 139 182 208 224 256 278 364 416 448 512 556 728 787 832 896 973 1112 1456 1574 1664 1792 1807 1946 2224 2912 3148 3328 3584 3614 3892 4448 5509 5824 6296 6656 7228 7784 8896 10231 11018 11648 12592 12649 14456 15568 17792 20462 22036 23296 25184 25298 28912 31136 35584 40924 44072 46592 50368 50596 57824 62272 71168 71617 81848 88144 100736 101192 109393 115648 124544 143234 163696 176288 201472 202384 218786 231296 249088 286468 327392 352576 402944 404768 437572 462592 498176 572936 654784 705152 765751 809536 875144 925184 1145872 1309568 1410304 1422109 1531502 1619072 1750288 2291744 2619136 2820608 2844218 3063004 3238144 3500576 4583488 5238272 5688436 6126008 6476288 7001152 9166976 9954763 11376872 12252016 14002304 18333952 19909526 22753744 24504032 28004608 36667904 39819052 45507488 49008064 56009216 79638104 91014976 98016128 159276208 182029952 196032256 318552416 364059904 392064512 637104832 728119808 1274209664 2548419328 5096838656