Search a number
-
+
15352125030 = 23251122369539
BaseRepresentation
bin11100100110000111…
…01101011001100110
31110121220201202102100
432103003231121212
5222420121000110
611015213152530
71052303624004
oct162303553146
943556652370
1015352125030
116568968840
122b8548b746
1315a8797568
14a58cc5a74
155ecbbcbc0
hex3930ed666

15352125030 has 96 divisors (see below), whose sum is σ = 43740103680. Its totient is φ = 3704984640.

The previous prime is 15352125029. The next prime is 15352125049. The reversal of 15352125030 is 3052125351.

It is a happy number.

15352125030 is a `hidden beast` number, since 1 + 535 + 2 + 125 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15352124985 and 15352125003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186001 + ... + 255539.

It is an arithmetic number, because the mean of its divisors is an integer number (455626080).

Almost surely, 215352125030 is an apocalyptic number.

15352125030 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 15352125030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870051840).

15352125030 is an abundant number, since it is smaller than the sum of its proper divisors (28387978650).

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

15352125030 is a wasteful number, since it uses less digits than its factorization.

15352125030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69786 (or 69783 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 15352125030 in words is "fifteen billion, three hundred fifty-two million, one hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 223 330 446 495 669 990 1115 1338 2007 2230 2453 3345 4014 4906 6690 7359 10035 12265 14718 20070 22077 24530 36795 44154 69539 73590 110385 139078 208617 220770 347695 417234 625851 695390 764929 1043085 1251702 1529858 2086170 2294787 3129255 3824645 4589574 6258510 6884361 7649290 11473935 13768722 15507197 22947870 31014394 34421805 46521591 68843610 77535985 93043182 139564773 155071970 170579167 232607955 279129546 341158334 465215910 511737501 697823865 852895835 1023475002 1395647730 1535212503 1705791670 2558687505 3070425006 5117375010 7676062515 15352125030