Search a number
-
+
404991698832 = 243274731127487
BaseRepresentation
bin1011110010010110110…
…00101110011110010000
31102201100120022221111100
411321023120232132100
523113410333330312
6510014533344400
741155033432560
oct5711330563620
91381316287440
10404991698832
1114683528a636
12665a6a98100
132c2628516a6
141585d102da0
15a804c605dc
hex5e4b62e790

404991698832 has 240 divisors, whose sum is σ = 1327192768512. Its totient is φ = 112881703680.

The previous prime is 404991698759. The next prime is 404991698869. The reversal of 404991698832 is 238896199404.

404991698832 is a `hidden beast` number, since 4 + 0 + 499 + 1 + 69 + 8 + 83 + 2 = 666.

It is a super-2 number, since 2×4049916988322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 404991698832.

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, 14720193 + ... + 14747679.

Almost surely, 2404991698832 is an apocalyptic number.

404991698832 is a gapful number since it is divisible by the number (42) 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 404991698832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663596384256).

404991698832 is an abundant number, since it is smaller than the sum of its proper divisors (922201069680).

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

404991698832 is a wasteful number, since it uses less digits than its factorization.

404991698832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27866 (or 27857 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 404991698832 in words is "four hundred four billion, nine hundred ninety-one million, six hundred ninety-eight thousand, eight hundred thirty-two".