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117044401932 = 22327946189273
BaseRepresentation
bin110110100000001100…
…0111101011100001100
3102012010000200200011100
41231000120331130030
53404201331330212
6125434111423100
711312320000263
oct1550030753414
9365100620140
10117044401932
1145702571597
121a825b24a90
13b063a7b183
1459449bb5da
1530a0782bdc
hex1b4063d70c

117044401932 has 72 divisors (see below), whose sum is σ = 300260600640. Its totient is φ = 38436952320.

The previous prime is 117044401931. The next prime is 117044401949. The reversal of 117044401932 is 239104440711.

117044401932 is a `hidden beast` number, since 1 + 170 + 4 + 440 + 19 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117044401931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1266448 + ... + 1355720.

It is an arithmetic number, because the mean of its divisors is an integer number (4170286120).

Almost surely, 2117044401932 is an apocalyptic number.

117044401932 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 117044401932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150130300320).

117044401932 is an abundant number, since it is smaller than the sum of its proper divisors (183216198708).

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

117044401932 is a wasteful number, since it uses less digits than its factorization.

117044401932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89823 (or 89818 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 117044401932 in words is "one hundred seventeen billion, forty-four million, four hundred one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 461 474 711 922 948 1383 1422 1844 2766 2844 4149 5532 8298 16596 36419 72838 89273 109257 145676 178546 218514 267819 327771 357092 437028 535638 655542 803457 1071276 1311084 1606914 3213828 7052567 14105134 21157701 28210268 41154853 42315402 63473103 82309706 84630804 123464559 126946206 164619412 246929118 253892412 370393677 493858236 740787354 1481574708 3251233387 6502466774 9753700161 13004933548 19507400322 29261100483 39014800644 58522200966 117044401932