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116876023944900 = 22352113131031109751
BaseRepresentation
bin11010100100110001010001…
…111000111101011011000100
3120022211020110001200121202220
4122210301101320331123010
5110304344044112214100
61052324034300132340
733422004553640223
oct3244612170753304
9508736401617686
10116876023944900
1134270930624370
1211137433b370b0
13502a491a55bac
1420c0b88b50cba
15d7a330d65aa0
hex6a4c51e3d6c4

116876023944900 has 288 divisors, whose sum is σ = 370444166055936. Its totient is φ = 28215408000000.

The previous prime is 116876023944859. The next prime is 116876023945073. The reversal of 116876023944900 is 9449320678611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1064865025 + ... + 1064974775.

It is an arithmetic number, because the mean of its divisors is an integer number (1286264465472).

Almost surely, 2116876023944900 is an apocalyptic number.

116876023944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116876023944900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185222083027968).

116876023944900 is an abundant number, since it is smaller than the sum of its proper divisors (253568142111036).

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

116876023944900 is a wasteful number, since it uses less digits than its factorization.

116876023944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111123 (or 111116 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 116876023944900 in words is "one hundred sixteen trillion, eight hundred seventy-six billion, twenty-three million, nine hundred forty-four thousand, nine hundred".