Search a number
-
+
16109384353920 = 2734511134397521
BaseRepresentation
bin1110101001101100001000…
…1000011100100010000000
32010001001010200201201110000
43222123002020130202000
54102414004343311140
654132314330240000
73251602363463424
oct352330210344200
963031120651400
1016109384353920
115150a51551570
121982134286000
138cb15429bba0
143d99ac444b84
151ce096e14a30
hexea6c221c880

16109384353920 has 2560 divisors, whose sum is σ = 70006011989760. Its totient is φ = 3478074163200.

The previous prime is 16109384353873. The next prime is 16109384353973. The reversal of 16109384353920 is 2935348390161.

16109384353920 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 3 + 84 + 3 + 539 + 20 = 666.

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 319 ways as a sum of consecutive naturals, for example, 30920123260 + ... + 30920123780.

Almost surely, 216109384353920 is an apocalyptic number.

16109384353920 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 16109384353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003005994880).

16109384353920 is an abundant number, since it is smaller than the sum of its proper divisors (53896627635840).

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

16109384353920 is a wasteful number, since it uses less digits than its factorization.

16109384353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 16109384353920 in words is "sixteen trillion, one hundred nine billion, three hundred eighty-four million, three hundred fifty-three thousand, nine hundred twenty".