Search a number
-
+
115152897824 = 25174143120067
BaseRepresentation
bin110101100111110100…
…1011100011100100000
3102000020012111022022122
41223033221130130200
53341313120212244
6124522302123412
711214411324116
oct1531751343440
9360205438278
10115152897824
1144921899558
121a398580568
13ab21c30683
1458056c5ab6
152ede6a21ee
hex1acfa5c720

115152897824 has 96 divisors (see below), whose sum is σ = 251618342976. Its totient is φ = 51637985280.

The previous prime is 115152897787. The next prime is 115152897833. The reversal of 115152897824 is 428798251511.

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, 899039 + ... + 1019105.

It is an arithmetic number, because the mean of its divisors is an integer number (2621024406).

Almost surely, 2115152897824 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 115152897824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125809171488).

115152897824 is an abundant number, since it is smaller than the sum of its proper divisors (136465445152).

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

115152897824 is a wasteful number, since it uses less digits than its factorization.

115152897824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120178 (or 120170 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 53.

The spelling of 115152897824 in words is "one hundred fifteen billion, one hundred fifty-two million, eight hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 43 68 82 86 136 164 172 272 328 344 544 656 688 697 731 1312 1376 1394 1462 1763 2788 2924 3526 5576 5848 7052 11152 11696 14104 22304 23392 28208 29971 56416 59942 119884 120067 239768 240134 479536 480268 959072 960536 1921072 2041139 3842144 4082278 4922747 5162881 8164556 9845494 10325762 16329112 19690988 20651524 32658224 39381976 41303048 65316448 78763952 82606096 83686699 87768977 157527904 165212192 167373398 175537954 211678121 334746796 351075908 423356242 669493592 702151816 846712484 1338987184 1404303632 1693424968 2677974368 2808607264 3386849936 3598528057 6773699872 7197056114 14394112228 28788224456 57576448912 115152897824