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5130211356 = 2233193896427
BaseRepresentation
bin1001100011100100…
…01101000000011100
3111020112101201222000
410301302031000130
541001313230411
62205022122300
7241063035264
oct46162150034
914215351860
105130211356
1121a29637a6
12bb2120390
13639b1c62a
143694b87a4
152005c7956
hex131c8d01c

5130211356 has 96 divisors (see below), whose sum is σ = 14038752000. Its totient is φ = 1615650624.

The previous prime is 5130211343. The next prime is 5130211367. The reversal of 5130211356 is 6531120315.

5130211356 is a `hidden beast` number, since 5 + 1 + 302 + 1 + 1 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 795015 + ... + 801441.

It is an arithmetic number, because the mean of its divisors is an integer number (146237000).

Almost surely, 25130211356 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 5130211356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019376000).

5130211356 is an abundant number, since it is smaller than the sum of its proper divisors (8908540644).

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

5130211356 is a wasteful number, since it uses less digits than its factorization.

5130211356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5130211356 is about 71625.4937574604. The cubic root of 5130211356 is about 1724.6928088141.

The spelling of 5130211356 in words is "five billion, one hundred thirty million, two hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 389 513 684 778 1026 1167 1556 2052 2334 3501 4668 6427 7002 7391 10503 12854 14004 14782 19281 21006 22173 25708 29564 38562 42012 44346 57843 66519 77124 88692 115686 122113 133038 173529 199557 231372 244226 266076 347058 366339 399114 488452 694116 732678 798228 1099017 1465356 2198034 2500103 3297051 4396068 5000206 6594102 7500309 10000412 13188204 15000618 22500927 30001236 45001854 47501957 67502781 90003708 95003914 135005562 142505871 190007828 270011124 285011742 427517613 570023484 855035226 1282552839 1710070452 2565105678 5130211356