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117204621840 = 243451743109227
BaseRepresentation
bin110110100100111110…
…0001001101000010000
3102012112012011200120000
41231021330021220100
53410013340344330
6125502033450000
711316303563565
oct1551174115020
9365465150500
10117204621840
1145784a54139
121a86b710900
13b08b017a57
14595bda686c
1530ae880560
hex1b49f09a10

117204621840 has 800 divisors, whose sum is σ = 447044780160. Its totient is φ = 28342960128.

The previous prime is 117204621817. The next prime is 117204621841. The reversal of 117204621840 is 48126402711.

It is a happy number.

117204621840 is a `hidden beast` number, since 1 + 1 + 7 + 20 + 4 + 621 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117204621795 and 117204621804.

It is not an unprimeable number, because it can be changed into a prime (117204621841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 516319807 + ... + 516320033.

Almost surely, 2117204621840 is an apocalyptic number.

117204621840 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 117204621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223522390080).

117204621840 is an abundant number, since it is smaller than the sum of its proper divisors (329840158320).

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

117204621840 is a wasteful number, since it uses less digits than its factorization.

117204621840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 117204621840 in words is "one hundred seventeen billion, two hundred four million, six hundred twenty-one thousand, eight hundred forty".