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117148954752 = 273522916447
BaseRepresentation
bin110110100011010011…
…1110011000010000000
3102012101022102111200000
41231012213303002000
53404410113023002
6125452324400000
711315026454064
oct1550647630200
9365338374600
10117148954752
1145756592685
121a854b46000
13b07c62704b
145954835aa4
1530a9a3661c
hex1b469f3080

117148954752 has 192 divisors, whose sum is σ = 351141772800. Its totient is φ = 38876765184.

The previous prime is 117148954717. The next prime is 117148954763. The reversal of 117148954752 is 257459841711.

117148954752 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 48 + 9 + 547 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1171489547522 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7114593 + ... + 7131039.

It is an arithmetic number, because the mean of its divisors is an integer number (1828863400).

Almost surely, 2117148954752 is an apocalyptic number.

117148954752 is a gapful number since it is divisible by the number (12) 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 117148954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175570886400).

117148954752 is an abundant number, since it is smaller than the sum of its proper divisors (233992818048).

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

117148954752 is an equidigital number, since it uses as much as digits as its factorization.

117148954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16705 (or 16681 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 117148954752 in words is "one hundred seventeen billion, one hundred forty-eight million, nine hundred fifty-four thousand, seven hundred fifty-two".