Search a number
-
+
469455796656 = 243473111931163
BaseRepresentation
bin1101101010011011011…
…11101111100110110000
31122212202011220102020000
412311031233233212300
530142421140443111
6555355350550000
745626360301000
oct6651557574660
91585664812200
10469455796656
11171105616440
1276b97968300
13353670c4a82
1418a167d8000
15c32935dc56
hex6d4dbef9b0

469455796656 has 1600 divisors, whose sum is σ = 1889783808000. Its totient is φ = 111106598400.

The previous prime is 469455796643. The next prime is 469455796697. The reversal of 469455796656 is 656697554964.

469455796656 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 557 + 9 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2880096831 + ... + 2880096993.

It is an arithmetic number, because the mean of its divisors is an integer number (1181114880).

Almost surely, 2469455796656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469455796656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944891904000).

469455796656 is an abundant number, since it is smaller than the sum of its proper divisors (1420328011344).

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

469455796656 is a wasteful number, since it uses less digits than its factorization.

469455796656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 469455796656 in words is "four hundred sixty-nine billion, four hundred fifty-five million, seven hundred ninety-six thousand, six hundred fifty-six".