Search a number
-
+
4772264411808 = 253216570362541
BaseRepresentation
bin100010101110010000100…
…1000000000001010100000
3121220020001022102120120200
41011130201020000022200
51111142044142134213
614052203100305200
71001533106126025
oct105344110001240
917806038376520
104772264411808
11157a9a6936453
12650a91842200
1328803a87475a
14126d9bca354c
158420e365273
hex457212002a0

4772264411808 has 36 divisors (see below), whose sum is σ = 13571126921898. Its totient is φ = 1590754803840.

The previous prime is 4772264411797. The next prime is 4772264411809. The reversal of 4772264411808 is 8081144622774.

It is a happy number.

4772264411808 is a `hidden beast` number, since 4 + 77 + 22 + 64 + 411 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4763096732304 + 9167679504 = 2182452^2 + 95748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4772264411809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8285180983 + ... + 8285181558.

Almost surely, 24772264411808 is an apocalyptic number.

4772264411808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4772264411808 is an abundant number, since it is smaller than the sum of its proper divisors (8798862510090).

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

4772264411808 is a wasteful number, since it uses less digits than its factorization.

4772264411808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16570362557 (or 16570362546 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 4772264411808 in words is "four trillion, seven hundred seventy-two billion, two hundred sixty-four million, four hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16570362541 33140725082 49711087623 66281450164 99422175246 132562900328 149133262869 198844350492 265125800656 298266525738 397688700984 530251601312 596533051476 795377401968 1193066102952 1590754803936 2386132205904 4772264411808