Search a number
-
+
5264155624 = 2371389113719
BaseRepresentation
bin1001110011100010…
…01010001111101000
3111120212102210221211
410321301022033220
541240110434444
62230205042504
7244310404330
oct47161121750
914525383854
105264155624
11226152a042
12102ab56434
1365b7b94b0
1437d1c40c0
1520c234c34
hex139c4a3e8

5264155624 has 128 divisors (see below), whose sum is σ = 12410496000. Its totient is φ = 2038063104.

The previous prime is 5264155609. The next prime is 5264155639. The reversal of 5264155624 is 4265514625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5264155609) and next prime (5264155639).

It is a super-2 number, since 2×52641556242 = 55422668867381658752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7321137 + ... + 7321855.

It is an arithmetic number, because the mean of its divisors is an integer number (96957000).

Almost surely, 25264155624 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 5264155624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

5264155624 is an abundant number, since it is smaller than the sum of its proper divisors (7146340376).

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

5264155624 is a wasteful number, since it uses less digits than its factorization.

5264155624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The square root of 5264155624 is about 72554.5010595483. The cubic root of 5264155624 is about 1739.5739944453.

The spelling of 5264155624 in words is "five billion, two hundred sixty-four million, one hundred fifty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 89 91 104 113 178 182 226 356 364 452 623 712 719 728 791 904 1157 1246 1438 1469 1582 2314 2492 2876 2938 3164 4628 4984 5033 5752 5876 6328 8099 9256 9347 10057 10066 10283 11752 16198 18694 20114 20132 20566 32396 37388 40228 40264 41132 63991 64792 65429 70399 74776 80456 81247 82264 127982 130741 130858 140798 162494 255964 261482 261716 281596 324988 447937 511928 522964 523432 563192 568729 649976 831883 895874 915187 1045928 1056211 1137458 1663766 1791748 1830374 2112422 2274916 3327532 3583496 3660748 4224844 4549832 5823181 6655064 7230983 7321496 7393477 8449688 11646362 14461966 14786954 23292724 28923932 29573908 46585448 50616881 57847864 59147816 94002779 101233762 188005558 202467524 376011116 404935048 658019453 752022232 1316038906 2632077812 5264155624