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115480350976 = 286723172
BaseRepresentation
bin110101110001100101…
…0100101000100000000
3102001002000122122121011
41223203022211010000
53343000432212401
6125015000410304
711225465534044
oct1534312450400
9361060578534
10115480350976
1144a7a7139a1
121a46a176994
13ab74a21133
145836da4024
15300d2d5451
hex1ae32a5100

115480350976 has 81 divisors (see below), whose sum is σ = 234741901989. Its totient is φ = 56698954752.

The previous prime is 115480350961. The next prime is 115480350977. The reversal of 115480350976 is 679053084511.

The square root of 115480350976 is 339824.

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

It can be written as a sum of positive squares in only one way, i.e., 6464160000 + 109016190976 = 80400^2 + 330176^2 .

It is a super-2 number, since 2×1154803509762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115480350977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 364291170 + ... + 364291486.

Almost surely, 2115480350976 is an apocalyptic number.

115480350976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115480350976 is the 339824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115480350976

115480350976 is an abundant number, since it is smaller than the sum of its proper divisors (119261551013).

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

115480350976 is an frugal number, since it uses more digits than its factorization.

115480350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 115480350976 by its sum of digits (49), we get a square (5658537197824 = 23787682).

The spelling of 115480350976 in words is "one hundred fifteen billion, four hundred eighty million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 317 536 634 1072 1268 2144 2536 4288 4489 5072 8576 8978 10144 17152 17956 20288 21239 35912 40576 42478 71824 81152 84956 100489 143648 169912 200978 287296 339824 401956 574592 679648 803912 1149184 1359296 1423013 1607824 2718592 2846026 3215648 5437184 5692052 6431296 6732763 11384104 12862592 13465526 22768208 25725184 26931052 45536416 53862104 91072832 107724208 182145664 215448416 364291328 430896832 451095121 861793664 902190242 1723587328 1804380484 3608760968 7217521936 14435043872 28870087744 57740175488 115480350976