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5002561152 = 273216726003
BaseRepresentation
bin1001010100010110…
…10000011010000000
3110220122012102210200
410222023100122000
540221123424102
62144222125200
7234653032251
oct45213203200
913818172720
105002561152
1121378a7266
12b77420800
13619547574
1435656ab28
151e42b051c
hex12a2d0680

5002561152 has 96 divisors (see below), whose sum is σ = 14482147680. Its totient is φ = 1657471488.

The previous prime is 5002561127. The next prime is 5002561163. The reversal of 5002561152 is 2511652005.

5002561152 is a `hidden beast` number, since 50 + 0 + 2 + 561 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179383 + ... + 205385.

It is an arithmetic number, because the mean of its divisors is an integer number (150855705).

Almost surely, 25002561152 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 5002561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241073840).

5002561152 is an abundant number, since it is smaller than the sum of its proper divisors (9479586528).

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

5002561152 is a wasteful number, since it uses less digits than its factorization.

5002561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26190 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5002561152 is about 70728.7858795837. The cubic root of 5002561152 is about 1710.2678640604.

It can be divided in two parts, 500 and 2561152, that added together give a palindrome (2561652).

The spelling of 5002561152 in words is "five billion, two million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 288 334 384 501 576 668 1002 1152 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 26003 32064 48096 52006 64128 78009 96192 104012 156018 192384 208024 234027 312036 416048 468054 624072 832096 936108 1248144 1664192 1872216 2496288 3328384 3744432 4342501 4992576 7488864 8685002 9985152 13027503 14977728 17370004 26055006 29955456 34740008 39082509 52110012 69480016 78165018 104220024 138960032 156330036 208440048 277920064 312660072 416880096 555840128 625320144 833760192 1250640288 1667520384 2501280576 5002561152