Search a number
-
+
22756413310653 = 3112147142617161
BaseRepresentation
bin1010010110010011000111…
…11011101000011010111101
32222120111021120101212021210
411023021203323220122331
510440320113301420103
6120222052453315033
74536045064414641
oct513114373503275
988514246355253
1022756413310653
117283a39067800
122676418935a79
13c90bc7642819
145895b83bcc21
15296e2e83ae03
hex14b263ee86bd

22756413310653 has 24 divisors (see below), whose sum is σ = 33373670030848. Its totient is φ = 13782389544000.

The previous prime is 22756413310607. The next prime is 22756413310669. The reversal of 22756413310653 is 35601331465722.

It is not a de Polignac number, because 22756413310653 - 240 = 21656901682877 is a prime.

It is a super-3 number, since 3×227564133106533 (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22756413300653) 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, 20774608 + ... + 21842553.

Almost surely, 222756413310653 is an apocalyptic number.

It is an amenable number.

22756413310653 is a deficient number, since it is larger than the sum of its proper divisors (10617256720195).

22756413310653 is a wasteful number, since it uses less digits than its factorization.

22756413310653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42618657 (or 42618646 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 22756413310653 in words is "twenty-two trillion, seven hundred fifty-six billion, four hundred thirteen million, three hundred ten thousand, six hundred fifty-three".

Divisors: 1 3 11 33 121 363 1471 4413 16181 48543 177991 533973 42617161 127851483 468788771 1406366313 5156676481 15470029443 62689843831 188069531493 689588282141 2068764846423 7585471103551 22756413310653