Search a number
-
+
513379130160 = 243513164544593
BaseRepresentation
bin1110111100001111100…
…01111101101100110000
31211002010021101221111210
413132013301331230300
531402400024131120
61031502040240120
752043004414621
oct7360761755460
91732107357453
10513379130160
111887a5153a66
12835b5770040
1339546c34a40
141abc207da48
15d54a4c4ce0
hex7787c7db30

513379130160 has 80 divisors (see below), whose sum is σ = 1713896491104. Its totient is φ = 126370246656.

The previous prime is 513379130141. The next prime is 513379130167. The reversal of 513379130160 is 61031973315.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (513379130167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82269177 + ... + 82275416.

Almost surely, 2513379130160 is an apocalyptic number.

It is an amenable number.

513379130160 is an abundant number, since it is smaller than the sum of its proper divisors (1200517360944).

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

513379130160 is a wasteful number, since it uses less digits than its factorization.

513379130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164544622 (or 164544616 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The spelling of 513379130160 in words is "five hundred thirteen billion, three hundred seventy-nine million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 164544593 329089186 493633779 658178372 822722965 987267558 1316356744 1645445930 1974535116 2139079709 2468168895 2632713488 3290891860 3949070232 4278159418 4936337790 6417239127 6581783720 7898140464 8556318836 9872675580 10695398545 12834478254 13163567440 17112637672 19745351160 21390797090 25668956508 32086195635 34225275344 39490702320 42781594180 51337913016 64172391270 85563188360 102675826032 128344782540 171126376720 256689565080 513379130160