Search a number
-
+
499380295680 = 21132573372297
BaseRepresentation
bin1110100010001010110…
…00101001100000000000
31202201222200010110201200
413101011120221200000
531140212323430210
61021225004501200
751036052322250
oct7210530514000
91681880113650
10499380295680
11182871181472
128094954a800
1338125943526
141a254bcb960
15cecb5220c0
hex7445629800

499380295680 has 576 divisors, whose sum is σ = 1984747302720. Its totient is φ = 113755815936.

The previous prime is 499380295657. The next prime is 499380295693. The reversal of 499380295680 is 86592083994.

499380295680 is a `hidden beast` number, since 4 + 99 + 380 + 2 + 95 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217404292 + ... + 217406588.

It is an arithmetic number, because the mean of its divisors is an integer number (3445741845).

Almost surely, 2499380295680 is an apocalyptic number.

499380295680 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 499380295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992373651360).

499380295680 is an abundant number, since it is smaller than the sum of its proper divisors (1485367007040).

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

499380295680 is a wasteful number, since it uses less digits than its factorization.

499380295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 499380295680 in words is "four hundred ninety-nine billion, three hundred eighty million, two hundred ninety-five thousand, six hundred eighty".