Search a number
-
+
2597397537072 = 2431317244852709
BaseRepresentation
bin100101110011000000111…
…101010010000100110000
3100012022100002201002110110
4211303000331102010300
5320023432232141242
65305121123301320
7355440634533432
oct45630075220460
910168302632413
102597397537072
11911606217478
1235b48721a840
1315ac19c98890
148da01250652
154786e63039c
hex25cc0f52130

2597397537072 has 80 divisors (see below), whose sum is σ = 7651157482080. Its totient is φ = 752187518976.

The previous prime is 2597397537037. The next prime is 2597397537079. The reversal of 2597397537072 is 2707357937952.

It is a super-2 number, since 2×25973975370722 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2597397536994 and 2597397537012.

It is not an unprimeable number, because it can be changed into a prime (2597397537079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122415747 + ... + 122436962.

It is an arithmetic number, because the mean of its divisors is an integer number (95639468526).

Almost surely, 22597397537072 is an apocalyptic number.

It is an amenable number.

2597397537072 is an abundant number, since it is smaller than the sum of its proper divisors (5053759945008).

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

2597397537072 is a wasteful number, since it uses less digits than its factorization.

2597397537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244852750 (or 244852744 counting only the distinct ones).

The product of its (nonzero) digits is 175032900, while the sum is 66.

The spelling of 2597397537072 in words is "two trillion, five hundred ninety-seven billion, three hundred ninety-seven million, five hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 244852709 489705418 734558127 979410836 1469116254 1958821672 2938232508 3183085217 3917643344 4162496053 5876465016 6366170434 8324992106 9549255651 11752930032 12487488159 12732340868 16649984212 19098511302 24974976318 25464681736 33299968424 38197022604 49949952636 50929363472 54112448689 66599936848 76394045208 99899905272 108224897378 152788090416 162337346067 199799810544 216449794756 324674692134 432899589512 649349384268 865799179024 1298698768536 2597397537072