Search a number
-
+
564812034064116 = 223673233417299623
BaseRepresentation
bin1000000001101100011000110…
…0101001111011111011110100
32202001211111120210000101211220
42000123012030221323323310
51043012340021210022431
65321131022202230340
7226653215506651506
oct20033061451737364
92661744523011756
10564812034064116
11153a6a490678773
12534204334b53b0
131b320714217867
149d690967c1d76
1545470cce9bb96
hex201b18ca7bef4

564812034064116 has 48 divisors (see below), whose sum is σ = 1319863044549504. Its totient is φ = 187989496805376.

The previous prime is 564812034064093. The next prime is 564812034064151. The reversal of 564812034064116 is 611460430218465.

564812034064116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5648120340641162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884925881 + ... + 1885225503.

It is an arithmetic number, because the mean of its divisors is an integer number (27497146761448).

Almost surely, 2564812034064116 is an apocalyptic number.

It is an amenable number.

564812034064116 is an abundant number, since it is smaller than the sum of its proper divisors (755051010485388).

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

564812034064116 is a wasteful number, since it uses less digits than its factorization.

564812034064116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533720 (or 533718 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 564812034064116 in words is "five hundred sixty-four trillion, eight hundred twelve billion, thirty-four million, sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 673 1346 2019 2692 4038 8076 233417 299623 466834 599246 700251 898869 933668 1198492 1400502 1797738 2801004 3595476 157089641 201646279 314179282 403292558 471268923 604938837 628358564 806585116 942537846 1209877674 1885075692 2419755348 69937101791 139874203582 209811305373 279748407164 419622610746 839245221492 47067669505343 94135339010686 141203008516029 188270678021372 282406017032058 564812034064116