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5381803764 = 22321723433883
BaseRepresentation
bin1010000001100011…
…11100111011110100
3111220001210221212100
411000301330323310
542010220210024
62250010422100
7250236401661
oct50061747364
914801727770
105381803764
112311984907
121062431930
13679c9ba8c
14390a8aa68
152177237c9
hex140c7cef4

5381803764 has 144 divisors (see below), whose sum is σ = 15082284672. Its totient is φ = 1609445376.

The previous prime is 5381803729. The next prime is 5381803771. The reversal of 5381803764 is 4673081835.

5381803764 is a `hidden beast` number, since 538 + 1 + 80 + 37 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6094467 + ... + 6095349.

It is an arithmetic number, because the mean of its divisors is an integer number (104738088).

Almost surely, 25381803764 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 5381803764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541142336).

5381803764 is an abundant number, since it is smaller than the sum of its proper divisors (9700480908).

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

5381803764 is a wasteful number, since it uses less digits than its factorization.

5381803764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5381803764 is about 73360.7781038342. The cubic root of 5381803764 is about 1752.4378284324.

The spelling of 5381803764 in words is "five billion, three hundred eighty-one million, eight hundred three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 433 612 782 828 866 883 1173 1299 1564 1732 1766 2346 2598 2649 3519 3532 3897 4692 5196 5298 7038 7361 7794 7947 9959 10596 14076 14722 15011 15588 15894 19918 20309 22083 29444 29877 30022 31788 39836 40618 44166 45033 59754 60044 60927 66249 81236 88332 89631 90066 119508 121854 132498 135099 169303 179262 180132 182781 243708 264996 270198 338606 345253 358524 365562 382339 507909 540396 677212 690506 731124 764678 1015818 1035759 1147017 1381012 1523727 1529356 2031636 2071518 2294034 3047454 3107277 3441051 4143036 4588068 6094908 6214554 6499763 6882102 8793797 12429108 12999526 13764204 17587594 19499289 25999052 26381391 35175188 38998578 52762782 58497867 77997156 79144173 105525564 116995734 149494549 158288346 233991468 298989098 316576692 448483647 597978196 896967294 1345450941 1793934588 2690901882 5381803764