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13395516030 = 23251319335923
BaseRepresentation
bin11000111100110111…
…10101101001111110
31021120120000201110100
430132123311221332
5204413223003110
610053120221530
7652645002411
oct143633655176
937516021410
1013395516030
115754468506
12271a16a8a6
131356303360
149110c3b78
1553602bbc0
hex31e6f5a7e

13395516030 has 96 divisors (see below), whose sum is σ = 37533184416. Its totient is φ = 3295095552.

The previous prime is 13395516011. The next prime is 13395516031. The reversal of 13395516030 is 3061559331.

13395516030 is a `hidden beast` number, since 13 + 3 + 9 + 551 + 60 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395516031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258649 + ... + 2264571.

It is an arithmetic number, because the mean of its divisors is an integer number (390970671).

Almost surely, 213395516030 is an apocalyptic number.

13395516030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13395516030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766592208).

13395516030 is an abundant number, since it is smaller than the sum of its proper divisors (24137668386).

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

13395516030 is a wasteful number, since it uses less digits than its factorization.

13395516030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 13395516030 in words is "thirteen billion, three hundred ninety-five million, five hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1933 3866 5799 5923 9665 11598 11846 17397 17769 19330 25129 28995 29615 34794 35538 50258 53307 57990 59230 75387 76999 86985 88845 106614 125645 150774 153998 173970 177690 226161 230997 251290 266535 376935 384995 452322 461994 533070 692991 753870 769990 1130805 1154985 1385982 2261610 2309970 3464955 6929910 11449159 22898318 34347477 57245795 68694954 103042431 114491590 148839067 171737385 206084862 297678134 343474770 446517201 515212155 744195335 893034402 1030424310 1339551603 1488390670 2232586005 2679103206 4465172010 6697758015 13395516030