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6764404048 = 2429127191601
BaseRepresentation
bin1100100110011000…
…01001110101010000
3122110102102022220021
412103030021311100
5102323141412143
63035120353224
7326425325413
oct62314116520
918412368807
106764404048
112961369976
121389475814
1383a56785c
1448254db7a
15298cccced
hex193309d50

6764404048 has 80 divisors (see below), whose sum is σ = 13759119360. Its totient is φ = 3217536000.

The previous prime is 6764404043. The next prime is 6764404051. The reversal of 6764404048 is 8404044676.

It is a junction number, because it is equal to n+sod(n) for n = 6764403995 and 6764404013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6764404043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11254948 + ... + 11255548.

It is an arithmetic number, because the mean of its divisors is an integer number (171988992).

Almost surely, 26764404048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6764404048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879559680).

6764404048 is an abundant number, since it is smaller than the sum of its proper divisors (6994715312).

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

6764404048 is a wasteful number, since it uses less digits than its factorization.

6764404048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The square root of 6764404048 is about 82245.9971548768. The cubic root of 6764404048 is about 1891.2249133397.

The spelling of 6764404048 in words is "six billion, seven hundred sixty-four million, four hundred four thousand, forty-eight".

Divisors: 1 2 4 8 16 29 58 116 127 191 232 254 382 464 508 601 764 1016 1202 1528 2032 2404 3056 3683 4808 5539 7366 9616 11078 14732 17429 22156 24257 29464 34858 44312 48514 58928 69716 76327 88624 97028 114791 139432 152654 194056 229582 278864 305308 388112 459164 610616 703453 918328 1221232 1406906 1836656 2213483 2813812 3328939 4426966 5627624 6657878 8853932 11255248 13315756 14578457 17707864 26631512 29156914 35415728 53263024 58313828 116627656 233255312 422775253 845550506 1691101012 3382202024 6764404048