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117185720976 = 24343722572
BaseRepresentation
bin110110100100011010…
…0000011001010010000
3102012110212121102110000
41231020310003022100
53404444021032401
6125500120410000
711315654123202
oct1551064031220
9365425542400
10117185720976
1145775314695
121a865316900
13b08712a9cc
145959686772
1530acd9a186
hex1b48d03290

117185720976 has 225 divisors, whose sum is σ = 349945602699. Its totient is φ = 37858295808.

The previous prime is 117185720923. The next prime is 117185720989. The reversal of 117185720976 is 679027581711.

The square root of 117185720976 is 342324.

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 94541490576 + 22644230400 = 307476^2 + 150480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 455975440 + ... + 455975696.

Almost surely, 2117185720976 is an apocalyptic number.

117185720976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117185720976 is the 342324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117185720976

117185720976 is an abundant number, since it is smaller than the sum of its proper divisors (232759881723).

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

117185720976 is an frugal number, since it uses more digits than its factorization.

117185720976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 117185720976 in words is "one hundred seventeen billion, one hundred eighty-five million, seven hundred twenty thousand, nine hundred seventy-six".