Search a number
-
+
15011201024 = 2145359293
BaseRepresentation
bin11011111101011110…
…01100000000000000
31102202011020000121022
431332233030000000
5221220331413044
610521314045012
71040664050321
oct157657140000
942664200538
1015011201024
116403482566
122aab279768
131552c6b491
14a258dc448
155cccc83ee
hex37ebcc000

15011201024 has 120 divisors (see below), whose sum is σ = 31212533520. Its totient is φ = 7214465024.

The previous prime is 15011201017. The next prime is 15011201041. The reversal of 15011201024 is 42010211051.

It is a junction number, because it is equal to n+sod(n) for n = 15011200993 and 15011201011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51232622 + ... + 51232914.

It is an arithmetic number, because the mean of its divisors is an integer number (260104446).

Almost surely, 215011201024 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 15011201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606266760).

15011201024 is an abundant number, since it is smaller than the sum of its proper divisors (16201332496).

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

15011201024 is an frugal number, since it uses more digits than its factorization.

15011201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 15011201024 its reverse (42010211051), we get a palindrome (57021412075).

The spelling of 15011201024 in words is "fifteen billion, eleven million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 59 64 106 118 128 212 236 256 293 424 472 512 586 848 944 1024 1172 1696 1888 2048 2344 3127 3392 3776 4096 4688 6254 6784 7552 8192 9376 12508 13568 15104 15529 16384 17287 18752 25016 27136 30208 31058 34574 37504 50032 54272 60416 62116 69148 75008 100064 108544 120832 124232 138296 150016 200128 217088 241664 248464 276592 300032 400256 434176 483328 496928 553184 600064 800512 868352 916211 966656 993856 1106368 1200128 1601024 1832422 1987712 2212736 2400256 3202048 3664844 3975424 4425472 4800512 6404096 7329688 7950848 8850944 12808192 14659376 15901696 17701888 25616384 29318752 31803392 35403776 51232768 58637504 63606784 70807552 117275008 127213568 141615104 234550016 254427136 283230208 469100032 938200064 1876400128 3752800256 7505600512 15011201024