Search a number
-
+
15033042112 = 261153617653
BaseRepresentation
bin11100000000000101…
…00000010011000000
31102210200022122221111
432000002200103000
5221241424321422
610523414133104
71041350515054
oct160002402300
942720278844
1015033042112
116414840050
122ab6651194
1315576478ba
14a28785c64
155ceb8ea77
hex3800a04c0

15033042112 has 112 divisors (see below), whose sum is σ = 33261738912. Its totient is φ = 6683156480.

The previous prime is 15033042109. The next prime is 15033042113. The reversal of 15033042112 is 21124033051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (15033042113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23021178 + ... + 23021830.

Almost surely, 215033042112 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 15033042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630869456).

15033042112 is an abundant number, since it is smaller than the sum of its proper divisors (18228696800).

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

15033042112 is a wasteful number, since it uses less digits than its factorization.

15033042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 15033042112 its reverse (21124033051), we get a palindrome (36157075163).

The spelling of 15033042112 in words is "fifteen billion, thirty-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 583 617 653 704 848 1166 1234 1306 1696 2332 2468 2612 3392 4664 4936 5224 6787 7183 9328 9872 10448 13574 14366 18656 19744 20896 27148 28732 32701 34609 37312 39488 41792 54296 57464 65402 69218 108592 114928 130804 138436 217184 229856 261608 276872 359711 380699 402901 434368 459712 523216 553744 719422 761398 805802 1046432 1107488 1438844 1522796 1611604 2092864 2214976 2877688 3045592 3223208 4431911 5755376 6091184 6446416 8863822 11510752 12182368 12892832 17727644 21353753 23021504 24364736 25785664 35455288 42707506 70910576 85415012 141821152 170830024 234891283 283642304 341660048 469782566 683320096 939565132 1366640192 1879130264 3758260528 7516521056 15033042112