Search a number
-
+
492553039320 = 23355316072693
BaseRepresentation
bin1110010101011100111…
…00101110110111011000
31202002100212102220200000
413022232130232313120
531032222034224240
61014135321013000
750404631516616
oct7125634566730
91662325386600
10492553039320
1117a988393741
127b563024160
13375a8370674
1419ba819a6b6
15cc2be7b430
hex72ae72edd8

492553039320 has 384 divisors, whose sum is σ = 1717097840640. Its totient is φ = 126853931520.

The previous prime is 492553039313. The next prime is 492553039333. The reversal of 492553039320 is 23930355294.

It is a happy number.

492553039320 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 530 + 3 + 93 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182899894 + ... + 182902586.

It is an arithmetic number, because the mean of its divisors is an integer number (4471608960).

Almost surely, 2492553039320 is an apocalyptic number.

492553039320 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 492553039320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858548920320).

492553039320 is an abundant number, since it is smaller than the sum of its proper divisors (1224544801320).

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

492553039320 is a wasteful number, since it uses less digits than its factorization.

492553039320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 492553039320 in words is "four hundred ninety-two billion, five hundred fifty-three million, thirty-nine thousand, three hundred twenty".