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15150414432 = 2531132116619
BaseRepresentation
bin11100001110000100…
…01111101001100000
31110002212011210111110
432013002033221200
5222012001230212
610543205543320
71044304253316
oct160702175140
943085153443
1015150414432
11647501766a
122b29a14b40
131575a6178a
14a3a1ba0b6
155da126a3c
hex38708fa60

15150414432 has 96 divisors (see below), whose sum is σ = 40318024320. Its totient is φ = 4980971520.

The previous prime is 15150414401. The next prime is 15150414443. The reversal of 15150414432 is 23441405151.

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

It is a super-2 number, since 2×151504144322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15150414432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285619 + ... + 2292237.

It is an arithmetic number, because the mean of its divisors is an integer number (419979420).

Almost surely, 215150414432 is an apocalyptic number.

15150414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15150414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159012160).

15150414432 is an abundant number, since it is smaller than the sum of its proper divisors (25167609888).

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

15150414432 is a wasteful number, since it uses less digits than its factorization.

15150414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 15150414432 its reverse (23441405151), we get a palindrome (38591819583).

The spelling of 15150414432 in words is "fifteen billion, one hundred fifty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 211 226 339 422 452 633 678 844 904 1266 1356 1688 1808 2532 2712 3376 3616 5064 5424 6619 6752 10128 10848 13238 19857 20256 23843 26476 39714 47686 52952 71529 79428 95372 105904 143058 158856 190744 211808 286116 317712 381488 572232 635424 747947 762976 1144464 1396609 1495894 2243841 2288928 2793218 2991788 4189827 4487682 5586436 5983576 8379654 8975364 11172872 11967152 16759308 17950728 22345744 23934304 33518616 35901456 44691488 67037232 71802912 134074464 157816817 315633634 473450451 631267268 946900902 1262534536 1893801804 2525069072 3787603608 5050138144 7575207216 15150414432