Search a number
-
+
117607001960448 = 21236731121373
BaseRepresentation
bin11010101111011010000011…
…100100110011000000000000
3120102102010020011210021000000
4122233122003210303000000
5110403333120000213243
61054043524424000000
733525553100361000
oct3257320344630000
9512363204707000
10117607001960448
1134522938664600
1211235037000000
1350813a6098640
1421082d0328000
15d8e3648345d3
hex6af683933000

117607001960448 has 4368 divisors, whose sum is σ = 493433323297600. Its totient is φ = 27811216097280.

The previous prime is 117607001960443. The next prime is 117607001960449. The reversal of 117607001960448 is 844069100706711.

117607001960448 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 0 + 7 + 0 + 0 + 196 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

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

It is a junction number, because it is equal to n+sod(n) for n = 117607001960394 and 117607001960403.

It is not an unprimeable number, because it can be changed into a prime (117607001960443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1611054821340 + ... + 1611054821412.

Almost surely, 2117607001960448 is an apocalyptic number.

117607001960448 is a gapful number since it is divisible by the number (18) 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 117607001960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246716661648800).

117607001960448 is an abundant number, since it is smaller than the sum of its proper divisors (375826321337152).

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

117607001960448 is an frugal number, since it uses more digits than its factorization.

117607001960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 117607001960448 in words is "one hundred seventeen trillion, six hundred seven billion, one million, nine hundred sixty thousand, four hundred forty-eight".