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117461111040 = 28335713417
BaseRepresentation
bin110110101100100111…
…0100101000100000000
3102020012001210200121000
41231121032211010000
53411030021023130
6125543315132000
711325536653530
oct1553116450400
9366161720530
10117461111040
11458a680a289
121a9215a4000
13b0cc1c0000
1459840914c0
1530c7147260
hex1b593a5100

117461111040 has 1440 divisors, whose sum is σ = 546423010560. Its totient is φ = 23325179904.

The previous prime is 117461111039. The next prime is 117461111083. The reversal of 117461111040 is 40111164711.

117461111040 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 611 + 1 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1174611110402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117461110995 and 117461111013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6909477112 + ... + 6909477128.

It is an arithmetic number, because the mean of its divisors is an integer number (379460424).

Almost surely, 2117461111040 is an apocalyptic number.

117461111040 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 117461111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273211505280).

117461111040 is an abundant number, since it is smaller than the sum of its proper divisors (428961899520).

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

117461111040 is an frugal number, since it uses more digits than its factorization.

117461111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 117461111040 its reverse (40111164711), we get a palindrome (157572275751).

The spelling of 117461111040 in words is "one hundred seventeen billion, four hundred sixty-one million, one hundred eleven thousand, forty".