Search a number
-
+
5198952096 = 2532139191511
BaseRepresentation
bin1001101011110000…
…11011011010100000
3111102022202010112100
410311320123122200
541121412431341
62215515330400
7242556235512
oct46570333240
914368663470
105198952096
112228744728
121011150a00
1364b139c20
1437468dbb2
152066553b6
hex135e1b6a0

5198952096 has 144 divisors (see below), whose sum is σ = 15949664640. Its totient is φ = 1596879360.

The previous prime is 5198952071. The next prime is 5198952097. The reversal of 5198952096 is 6902598915.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×51989520963 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5198952097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3439981 + ... + 3441491.

It is an arithmetic number, because the mean of its divisors is an integer number (110761560).

Almost surely, 25198952096 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 5198952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974832320).

5198952096 is an abundant number, since it is smaller than the sum of its proper divisors (10750712544).

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

5198952096 is a wasteful number, since it uses less digits than its factorization.

5198952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 5198952096 is about 72103.7592362562. The cubic root of 5198952096 is about 1732.3618265272.

The spelling of 5198952096 in words is "five billion, one hundred ninety-eight million, nine hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 919 936 1248 1511 1838 1872 2757 3022 3676 3744 4533 5514 6044 7352 8271 9066 11028 11947 12088 13599 14704 16542 18132 19643 22056 23894 24176 27198 29408 33084 35841 36264 39286 44112 47788 48352 54396 58929 66168 71682 72528 78572 88224 95576 107523 108792 117858 132336 143364 145056 157144 176787 191152 215046 217584 235716 264672 286728 314288 353574 382304 430092 435168 471432 573456 628576 707148 860184 942864 1146912 1388609 1414296 1720368 1885728 2777218 2828592 3440736 4165827 5554436 5657184 8331654 11108872 12497481 16663308 18051917 22217744 24994962 33326616 36103834 44435488 49989924 54155751 66653232 72207668 99979848 108311502 133306464 144415336 162467253 199959696 216623004 288830672 324934506 399919392 433246008 577661344 649869012 866492016 1299738024 1732984032 2599476048 5198952096