Search a number
-
+
497781689496 = 233713323191307
BaseRepresentation
bin1110011111001100001…
…10011100110010011000
31202120212021001212022020
413033212012130302120
531123424103030441
61020402221054440
750651331355650
oct7174606346230
91676767055266
10497781689496
11182120871a33
12805820b7420
1337c2c6a8000
141a14277b360
15ce35eeae66
hex73e619cc98

497781689496 has 512 divisors, whose sum is σ = 1621367193600. Its totient is φ = 124510763520.

The previous prime is 497781689423. The next prime is 497781689513. The reversal of 497781689496 is 694986187794.

497781689496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4977816894962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

Its product of digits (1316818944) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1621438575 + ... + 1621438881.

It is an arithmetic number, because the mean of its divisors is an integer number (3166732800).

Almost surely, 2497781689496 is an apocalyptic number.

497781689496 is a gapful number since it is divisible by the number (46) 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 497781689496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810683596800).

497781689496 is an abundant number, since it is smaller than the sum of its proper divisors (1123585504104).

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

497781689496 is a wasteful number, since it uses less digits than its factorization.

497781689496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 546 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 78.

The spelling of 497781689496 in words is "four hundred ninety-seven billion, seven hundred eighty-one million, six hundred eighty-nine thousand, four hundred ninety-six".