Search a number
-
+
14883446823960 = 233511213129760793
BaseRepresentation
bin1101100010010101001010…
…0011111001110000011000
31221200211202222222120022210
43120211102203321300120
53422322244341331320
651353205554315120
73064202454430461
oct330452243716030
957624688876283
1014883446823960
1148190417a3300
121804618288aa0
1383c670173b20
14396511247d68
151ac2450b50e0
hexd89528f9c18

14883446823960 has 384 divisors, whose sum is σ = 52895361435840. Its totient is φ = 3327938887680.

The previous prime is 14883446823941. The next prime is 14883446823997. The reversal of 14883446823960 is 6932864438841.

It is a super-2 number, since 2×148834468239602 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14883446823891 and 14883446823900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244791324 + ... + 244852116.

Almost surely, 214883446823960 is an apocalyptic number.

14883446823960 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 14883446823960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447680717920).

14883446823960 is an abundant number, since it is smaller than the sum of its proper divisors (38011914611880).

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

14883446823960 is a wasteful number, since it uses less digits than its factorization.

14883446823960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62139 (or 62124 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 14883446823960 in words is "fourteen trillion, eight hundred eighty-three billion, four hundred forty-six million, eight hundred twenty-three thousand, nine hundred sixty".