Search a number
-
+
497451997350 = 2335271129473511
BaseRepresentation
bin1110011110100100111…
…00110001100010100110
31202120000021200202201000
413033102130301202212
531122240202403400
61020305402414130
750640216132240
oct7172234614246
91676007622630
10497451997350
11181a71758390
12804ab801346
1337ba92b23b9
141a110a79090
15ce170c4600
hex73d27318a6

497451997350 has 768 divisors, whose sum is σ = 1806055833600. Its totient is φ = 97651008000.

The previous prime is 497451997271. The next prime is 497451997381. The reversal of 497451997350 is 53799154794.

497451997350 is a `hidden beast` number, since 4 + 97 + 4 + 5 + 199 + 7 + 350 = 666.

497451997350 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141682095 + ... + 141685605.

It is an arithmetic number, because the mean of its divisors is an integer number (2351635200).

Almost surely, 2497451997350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497451997350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903027916800).

497451997350 is an abundant number, since it is smaller than the sum of its proper divisors (1308603836250).

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

497451997350 is a wasteful number, since it uses less digits than its factorization.

497451997350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 497451997350 in words is "four hundred ninety-seven billion, four hundred fifty-one million, nine hundred ninety-seven thousand, three hundred fifty".