Search a number
-
+
115970215936 = 2121723132
BaseRepresentation
bin110110000000001011…
…1010001000000000000
3102002100011102100222211
41230000113101000000
53400001333402221
6125135340111504
711243564366551
oct1540027210000
9362304370884
10115970215936
1145201188773
121a586235594
13ac22368063
14588207c328
15303b2ea6e1
hex1b005d1000

115970215936 has 117 divisors (see below), whose sum is σ = 247146068271. Its totient is φ = 54399860736.

The previous prime is 115970215909. The next prime is 115970215951. The reversal of 115970215936 is 639512079511.

It is a happy number.

The square root of 115970215936 is 340544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18426433536 + 97543782400 = 135744^2 + 312320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115970215936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 370511716 + ... + 370512028.

Almost surely, 2115970215936 is an apocalyptic number.

115970215936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115970215936 is the 340544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115970215936

115970215936 is an abundant number, since it is smaller than the sum of its proper divisors (131175852335).

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

115970215936 is an frugal number, since it uses more digits than its factorization.

115970215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 49.

Multiplying 115970215936 by its sum of digits (49), we get a square (5682540580864 = 23838082).

The spelling of 115970215936 in words is "one hundred fifteen billion, nine hundred seventy million, two hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 313 512 544 578 626 1024 1088 1156 1252 2048 2176 2312 2504 4096 4352 4624 5008 5321 8704 9248 10016 10642 17408 18496 20032 21284 34816 36992 40064 42568 69632 73984 80128 85136 90457 97969 147968 160256 170272 180914 195938 295936 320512 340544 361828 391876 591872 641024 681088 723656 783752 1183744 1282048 1362176 1447312 1567504 1665473 2724352 2894624 3135008 3330946 5448704 5789248 6270016 6661892 10897408 11578496 12540032 13323784 21794816 23156992 25080064 26647568 28313041 46313984 50160128 53295136 56626082 92627968 100320256 106590272 113252164 185255936 200640512 213180544 226504328 370511872 401281024 426361088 453008656 852722176 906017312 1705444352 1812034624 3410888704 3624069248 6821777408 7248138496 14496276992 28992553984 57985107968 115970215936