Search a number
-
+
16146946436880 = 24357217178745197
BaseRepresentation
bin1110101011111000000100…
…0000011010111100010000
32010011122002110102020110210
43222332001000122330100
54104022421241440010
654201445500124120
73254402246066400
oct352760100327420
963148073366423
1016146946436880
11516597734a436
121989477836640
1390185c24b08c
143db732d22800
151d0044885b20
hexeaf8101af10

16146946436880 has 480 divisors, whose sum is σ = 61688900336256. Its totient is φ = 3471608168448.

The previous prime is 16146946436857. The next prime is 16146946436899. The reversal of 16146946436880 is 8863464964161.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 357234442 + ... + 357279638.

Almost surely, 216146946436880 is an apocalyptic number.

16146946436880 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 16146946436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844450168128).

16146946436880 is an abundant number, since it is smaller than the sum of its proper divisors (45541953899376).

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

16146946436880 is a wasteful number, since it uses less digits than its factorization.

16146946436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47031 (or 47018 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 16146946436880 in words is "sixteen trillion, one hundred forty-six billion, nine hundred forty-six million, four hundred thirty-six thousand, eight hundred eighty".