Search a number
-
+
1850097896064 = 273211401577631
BaseRepresentation
bin11010111011000010011…
…011011000101010000000
320112212102111120222020200
4122323002123120222000
5220303000030133224
63533531230405200
7250444102434045
oct32730233305200
96485374528220
101850097896064
11653693037480
1225a68a060800
1310560436cba2
146578c1031cc
15331d2cd95c9
hex1aec26d8a80

1850097896064 has 384 divisors, whose sum is σ = 5841652901760. Its totient is φ = 557383680000.

The previous prime is 1850097896041. The next prime is 1850097896077. The reversal of 1850097896064 is 4606987900581.

1850097896064 is a `hidden beast` number, since 1 + 8 + 500 + 9 + 7 + 8 + 9 + 60 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1850097895992 and 1850097896010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932009029 + ... + 2932009659.

It is an arithmetic number, because the mean of its divisors is an integer number (15212637765).

Almost surely, 21850097896064 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 1850097896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920826450880).

1850097896064 is an abundant number, since it is smaller than the sum of its proper divisors (3991555005696).

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

1850097896064 is a wasteful number, since it uses less digits than its factorization.

1850097896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1850097896064 in words is "one trillion, eight hundred fifty billion, ninety-seven million, eight hundred ninety-six thousand, sixty-four".