Search a number
-
+
404801596680 = 2335132197101323
BaseRepresentation
bin1011110010000000000…
…11100010110100001000
31102200212022121202100220
411321000003202310020
523113013202043210
6505544023030040
741150234541105
oct5710003426410
91380768552326
10404801596680
11146747a48018
126655329b320
132c232351600
1415841b79aac
15a7e320dc70
hex5e400e2d08

404801596680 has 192 divisors, whose sum is σ = 1321694573760. Its totient is φ = 99136687104.

The previous prime is 404801596679. The next prime is 404801596711. The reversal of 404801596680 is 86695108404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3944499 + ... + 4045821.

It is an arithmetic number, because the mean of its divisors is an integer number (6883825905).

Almost surely, 2404801596680 is an apocalyptic number.

404801596680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404801596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660847286880).

404801596680 is an abundant number, since it is smaller than the sum of its proper divisors (916892977080).

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

404801596680 is a wasteful number, since it uses less digits than its factorization.

404801596680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101560 (or 101543 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 404801596680 in words is "four hundred four billion, eight hundred one million, five hundred ninety-six thousand, six hundred eighty".