Search a number
-
+
2626240282272 = 253283109866143
BaseRepresentation
bin100110001101111000000…
…111100111111010100000
3100022001210012102100200200
4212031320013213322200
5321012020003013042
65330251135345200
7360511453034535
oct46157007477240
910261705370620
102626240282272
1192286719a882
12364b96682200
13160865684709
1491179ad4d8c
15484ab863c4c
hex263781e7ea0

2626240282272 has 72 divisors (see below), whose sum is σ = 7558351242624. Its totient is φ = 864866269824.

The previous prime is 2626240282261. The next prime is 2626240282273. The reversal of 2626240282272 is 2722820426262.

2626240282272 is a `hidden beast` number, since 2 + 6 + 2 + 62 + 40 + 282 + 272 = 666.

2626240282272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×26262402822723 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2626240282273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54909168 + ... + 54956975.

It is an arithmetic number, because the mean of its divisors is an integer number (104977100592).

Almost surely, 22626240282272 is an apocalyptic number.

It is an amenable number.

2626240282272 is an abundant number, since it is smaller than the sum of its proper divisors (4932110960352).

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

2626240282272 is a wasteful number, since it uses less digits than its factorization.

2626240282272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109866242 (or 109866231 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2626240282272 in words is "two trillion, six hundred twenty-six billion, two hundred forty million, two hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 109866143 219732286 329598429 439464572 659196858 878929144 988795287 1318393716 1757858288 1977590574 2636787432 3515716576 3955181148 5273574864 7910362296 9118889869 10547149728 15820724592 18237779738 27356669607 31641449184 36475559476 54713339214 72951118952 82070008821 109426678428 145902237904 164140017642 218853356856 291804475808 328280035284 437706713712 656560070568 875413427424 1313120141136 2626240282272