Search a number
-
+
15038861852 = 22721791932221
BaseRepresentation
bin11100000000110001…
…01101001000011100
31102211002021100010102
432000120231020130
5221244422034402
610524143000232
71041451134200
oct160030551034
942732240112
1015038861852
116418055553
122ab8599078
131558904831
14a2945cb00
155d043e102
hex38062d21c

15038861852 has 72 divisors (see below), whose sum is σ = 30959303760. Its totient is φ = 6373140480.

The previous prime is 15038861843. The next prime is 15038861867. The reversal of 15038861852 is 25816883051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15038861797 and 15038861806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6770102 + ... + 6772322.

It is an arithmetic number, because the mean of its divisors is an integer number (429990330).

Almost surely, 215038861852 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 15038861852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479651880).

15038861852 is an abundant number, since it is smaller than the sum of its proper divisors (15920441908).

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

15038861852 is a wasteful number, since it uses less digits than its factorization.

15038861852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 15038861852 in words is "fifteen billion, thirty-eight million, eight hundred sixty-one thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 179 193 196 358 386 716 772 1253 1351 2221 2506 2702 4442 5012 5404 8771 8884 9457 15547 17542 18914 31094 34547 35084 37828 62188 69094 108829 138188 217658 241829 397559 428653 435316 483658 795118 857306 967316 1590236 1692803 1714612 2782913 3000571 3385606 5565826 6001142 6771212 11131652 12002284 19480391 21003997 38960782 42007994 76728887 77921564 84015988 153457774 306915548 537102209 1074204418 2148408836 3759715463 7519430926 15038861852