Search a number
-
+
15161202160 = 2451334941771
BaseRepresentation
bin11100001111010110…
…11001010111110000
31110010121110212110221
432013223121113300
5222022231432120
610544233102424
71044465043366
oct160753312760
943117425427
1015161202160
116480115645
122b31557a14
13157806aa50
14a3b7c7636
155db0580aa
hex387ad95f0

15161202160 has 80 divisors (see below), whose sum is σ = 38071000800. Its totient is φ = 5581808640.

The previous prime is 15161202137. The next prime is 15161202181. The reversal of 15161202160 is 6120216151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342075 + ... + 383845.

It is an arithmetic number, because the mean of its divisors is an integer number (475887510).

Almost surely, 215161202160 is an apocalyptic number.

15161202160 is a gapful number since it is divisible by the number (10) 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 15161202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035500400).

15161202160 is an abundant number, since it is smaller than the sum of its proper divisors (22909798640).

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

15161202160 is a wasteful number, since it uses less digits than its factorization.

15161202160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42146 (or 42140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 15161202160 in words is "fifteen billion, one hundred sixty-one million, two hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 349 520 698 1040 1396 1745 2792 3490 4537 5584 6980 9074 13960 18148 22685 27920 36296 41771 45370 72592 83542 90740 167084 181480 208855 334168 362960 417710 543023 668336 835420 1086046 1670840 2172092 2715115 3341680 4344184 5430230 8688368 10860460 14578079 21720920 29156158 43441840 58312316 72890395 116624632 145780790 189515027 233249264 291561580 379030054 583123160 758060108 947575135 1166246320 1516120216 1895150270 3032240432 3790300540 7580601080 15161202160