Search a number
-
+
6497393540 = 22511173156041
BaseRepresentation
bin1100000110100011…
…00101101110000100
3121202210222210100012
412003101211232010
5101301313043130
62552421405352
7320003635211
oct60321455604
917683883305
106497393540
112834677a30
121313b69858
137c714a681
14458cc6b08
15280638995
hex183465b84

6497393540 has 96 divisors (see below), whose sum is σ = 16269216768. Its totient is φ = 2151936000.

The previous prime is 6497393527. The next prime is 6497393563. The reversal of 6497393540 is 453937946.

It is a super-2 number, since 2×64973935402 = 84432245627267463200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87920 + ... + 143960.

It is an arithmetic number, because the mean of its divisors is an integer number (169471008).

Almost surely, 26497393540 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 6497393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134608384).

6497393540 is an abundant number, since it is smaller than the sum of its proper divisors (9771823228).

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

6497393540 is a wasteful number, since it uses less digits than its factorization.

6497393540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56109 (or 56107 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The square root of 6497393540 is about 80606.4112834705. The cubic root of 6497393540 is about 1866.0060927241.

The spelling of 6497393540 in words is "six billion, four hundred ninety-seven million, three hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 124 155 170 187 220 310 340 341 374 527 620 682 748 935 1054 1364 1705 1870 2108 2635 3410 3740 5270 5797 6820 10540 11594 23188 28985 56041 57970 112082 115940 224164 280205 560410 616451 952697 1120820 1232902 1737271 1905394 2465804 3082255 3474542 3810788 4763485 6164510 6949084 8686355 9526970 10479667 12329020 17372710 19053940 19109981 20959334 29533607 34745420 38219962 41918668 52398335 59067214 76439924 95549905 104796670 118134428 147668035 191099810 209593340 295336070 324869677 382199620 590672140 649739354 1299478708 1624348385 3248696770 6497393540