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116520722064 = 243213921412719
BaseRepresentation
bin110110010000100101…
…1010001111010010000
3102010202112021222102200
41230201023101322100
53402113301101224
6125310123243200
711263330536645
oct1544113217220
9363675258380
10116520722064
1145463a0110a
121a6ba679500
13acac424a26
1458d521ddcc
15306e7dd5c9
hex1b212d1e90

116520722064 has 120 divisors (see below), whose sum is σ = 328716460800. Its totient is φ = 38528628480.

The previous prime is 116520722041. The next prime is 116520722083. The reversal of 116520722064 is 460227025611.

It is a happy number.

116520722064 is a `hidden beast` number, since 1 + 1 + 6 + 520 + 72 + 2 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42852897 + ... + 42855615.

It is an arithmetic number, because the mean of its divisors is an integer number (2739303840).

Almost surely, 2116520722064 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 116520722064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164358230400).

116520722064 is an abundant number, since it is smaller than the sum of its proper divisors (212195738736).

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

116520722064 is a wasteful number, since it uses less digits than its factorization.

116520722064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 116520722064 its reverse (460227025611), we get a palindrome (576747747675).

The spelling of 116520722064 in words is "one hundred sixteen billion, five hundred twenty million, seven hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2141 2224 2502 2719 3336 4282 5004 5438 6423 6672 8157 8564 10008 10876 12846 16314 17128 19269 20016 21752 24471 25692 32628 34256 38538 43504 48942 51384 65256 77076 97884 102768 130512 154152 195768 297599 308304 377941 391536 595198 755882 892797 1133823 1190396 1511764 1785594 2267646 2380792 2678391 3023528 3401469 3571188 4535292 4761584 5356782 5821379 6047056 6802938 7142376 9070584 10713564 11642758 13605876 14284752 17464137 18141168 21427128 23285516 27211752 34928274 42854256 46571032 52392411 54423504 69856548 93142064 104784822 139713096 209569644 279426192 419139288 809171681 838278576 1618343362 2427515043 3236686724 4855030086 6473373448 7282545129 9710060172 12946746896 14565090258 19420120344 29130180516 38840240688 58260361032 116520722064