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5335502144 = 267131229397
BaseRepresentation
bin1001111100000010…
…10100110101000000
3111202211200120222112
410332001110311000
541411342032034
62241234154452
7246135006560
oct47601246500
914684616875
105335502144
11229882a805
12104aa22a28
13670509b7b
14388876da0
152136297ce
hex13e054d40

5335502144 has 112 divisors (see below), whose sum is σ = 12276612480. Its totient is φ = 2253588480.

The previous prime is 5335502141. The next prime is 5335502147. The reversal of 5335502144 is 4412055335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5335502141) and next prime (5335502147).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5335502144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335502141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13439354 + ... + 13439750.

Almost surely, 25335502144 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 5335502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138306240).

5335502144 is an abundant number, since it is smaller than the sum of its proper divisors (6941110336).

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

5335502144 is a wasteful number, since it uses less digits than its factorization.

5335502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 5335502144 is about 73044.5216563159. The cubic root of 5335502144 is about 1747.3977262063.

Adding to 5335502144 its reverse (4412055335), we get a palindrome (9747557479).

The spelling of 5335502144 in words is "five billion, three hundred thirty-five million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 229 262 397 448 458 524 794 916 917 1048 1588 1603 1832 1834 2096 2779 3176 3206 3664 3668 4192 5558 6352 6412 7328 7336 8384 11116 12704 12824 14656 14672 22232 25408 25648 29344 29999 44464 51296 52007 58688 59998 88928 90913 102592 104014 119996 177856 181826 208028 209993 239992 363652 364049 416056 419986 479984 636391 727304 728098 832112 839972 959968 1272782 1454608 1456196 1664224 1679944 1919936 2545564 2909216 2912392 3328448 3359888 5091128 5818432 5824784 6719776 10182256 11649568 11909603 13439552 20364512 23299136 23819206 40729024 47638412 83367221 95276824 166734442 190553648 333468884 381107296 666937768 762214592 1333875536 2667751072 5335502144