Search a number
-
+
15534513012 = 223192109167197
BaseRepresentation
bin11100111011110110…
…11101101101110100
31111002121221000200210
432131323131231310
5223303313404022
611045250305420
71056650116254
oct163573355564
944077830623
1015534513012
116651911607
123016588270
1316074c6345
14a75201964
1560dbe8a0c
hex39deddb74

15534513012 has 144 divisors (see below), whose sum is σ = 39034638720. Its totient is φ = 4806998784.

The previous prime is 15534512999. The next prime is 15534513037. The reversal of 15534513012 is 21031543551.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78855298 + ... + 78855494.

It is an arithmetic number, because the mean of its divisors is an integer number (271073880).

Almost surely, 215534513012 is an apocalyptic number.

15534513012 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 15534513012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517319360).

15534513012 is an abundant number, since it is smaller than the sum of its proper divisors (23500125708).

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

15534513012 is a wasteful number, since it uses less digits than its factorization.

15534513012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 15534513012 in words is "fifteen billion, five hundred thirty-four million, five hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 167 197 218 228 327 334 361 394 436 501 591 654 668 722 788 1002 1083 1182 1308 1444 2004 2071 2166 2364 3173 3743 4142 4332 6213 6346 7486 8284 9519 11229 12426 12692 14972 18203 19038 21473 22458 24852 32899 36406 38076 39349 42946 44916 54609 60287 64419 65798 71117 72812 78698 85892 98697 109218 118047 120574 128838 131596 142234 157396 180861 197394 213351 218436 236094 241148 257676 284468 345857 361722 394788 407987 426702 472188 625081 691714 723444 815974 853404 1037571 1223961 1250162 1383428 1631948 1875243 2075142 2447922 2500324 3585991 3750486 4150284 4895844 6571283 7171982 7500972 7751753 10757973 11876539 13142566 14343964 15503506 19713849 21515946 23255259 23753078 26285132 31007012 35629617 39427698 43031892 46510518 47506156 68133829 71259234 78855396 93021036 136267658 142518468 204401487 272535316 408802974 817605948 1294542751 2589085502 3883628253 5178171004 7767256506 15534513012