Search a number
-
+
16441048849104 = 24331173127373187
BaseRepresentation
bin1110111100111111101011…
…1000000101101011010000
32011012202012221222202201000
43233033322320011223100
54123332232001132404
654544525155342000
73314553342253425
oct357177270055320
964182187882630
1016441048849104
115269678504750
121a16475bb1900
139234cc28a679
1440ba72ab3d4c
151d7a093db339
hexef3fae05ad0

16441048849104 has 320 divisors, whose sum is σ = 52598370631680. Its totient is φ = 4875182484480.

The previous prime is 16441048849079. The next prime is 16441048849111. The reversal of 16441048849104 is 40194884014461.

16441048849104 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 10 + 488 + 49 + 104 = 666.

It is a super-3 number, since 3×164410488491043 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43869199 + ... + 44242385.

It is an arithmetic number, because the mean of its divisors is an integer number (164369908224).

Almost surely, 216441048849104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16441048849104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26299185315840).

16441048849104 is an abundant number, since it is smaller than the sum of its proper divisors (36157321782576).

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

16441048849104 is a wasteful number, since it uses less digits than its factorization.

16441048849104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373415 (or 373403 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 16441048849104 in words is "sixteen trillion, four hundred forty-one billion, forty-eight million, eight hundred forty-nine thousand, one hundred four".