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5156402304 = 27329736343
BaseRepresentation
bin1001100110101100…
…00111010010000000
3111022100200101012010
410303112013102000
541030014333204
62211355332520
7241531460604
oct46326072200
914270611163
105156402304
112206722409
12bbaa51140
1364238c931
1436cb75504
15202a4cd89
hex133587480

5156402304 has 128 divisors (see below), whose sum is σ = 14365353600. Its totient is φ = 1636540416.

The previous prime is 5156402299. The next prime is 5156402309. The reversal of 5156402304 is 4032046515.

It is an interprime number because it is at equal distance from previous prime (5156402299) and next prime (5156402309).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5156402309) 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, 809757 + ... + 816099.

It is an arithmetic number, because the mean of its divisors is an integer number (112229325).

Almost surely, 25156402304 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 5156402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182676800).

5156402304 is an abundant number, since it is smaller than the sum of its proper divisors (9208951296).

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

5156402304 is a wasteful number, since it uses less digits than its factorization.

5156402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5156402304 is about 71808.0935828267. The cubic root of 5156402304 is about 1727.6228171955.

Adding to 5156402304 its reverse (4032046515), we get a palindrome (9188448819).

The spelling of 5156402304 in words is "five billion, one hundred fifty-six million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 128 146 174 192 219 232 292 348 384 438 464 584 696 876 928 1168 1392 1752 1856 2117 2336 2784 3504 3712 4234 4672 5568 6343 6351 7008 8468 9344 11136 12686 12702 14016 16936 19029 25372 25404 28032 33872 38058 50744 50808 67744 76116 101488 101616 135488 152232 183947 202976 203232 270976 304464 367894 405952 406464 463039 551841 608928 735788 811904 812928 926078 1103682 1217856 1389117 1471576 1852156 2207364 2435712 2778234 2943152 3704312 4414728 5556468 5886304 7408624 8829456 11112936 11772608 13428131 14817248 17658912 22225872 23545216 26856262 29634496 35317824 40284393 44451744 53712524 59268992 70635648 80568786 88903488 107425048 161137572 177806976 214850096 322275144 429700192 644550288 859400384 1289100576 1718800768 2578201152 5156402304