Search a number
-
+
1930702407296 = 271331612632333
BaseRepresentation
bin11100000110000110110…
…101001100011010000000
320211120110222012101202112
4130012012311030122000
5223113034304013141
64034541421034452
7256326414454055
oct34060665143200
96746428171675
101930702407296
116848961a2813
122722243b5a28
131100ab7bca50
146963727b02c
153534e3b77eb
hex1c186d4c680

1930702407296 has 256 divisors, whose sum is σ = 4364300666880. Its totient is φ = 844624281600.

The previous prime is 1930702407289. The next prime is 1930702407299. The reversal of 1930702407296 is 6927042070391.

It is a super-2 number, since 2×19307024072962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1930702407299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827560946 + ... + 827563278.

It is an arithmetic number, because the mean of its divisors is an integer number (17048049480).

Almost surely, 21930702407296 is an apocalyptic number.

1930702407296 is a gapful number since it is divisible by the number (16) 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 1930702407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182150333440).

1930702407296 is an abundant number, since it is smaller than the sum of its proper divisors (2433598259584).

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

1930702407296 is a wasteful number, since it uses less digits than its factorization.

1930702407296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 1930702407296 in words is "one trillion, nine hundred thirty billion, seven hundred two million, four hundred seven thousand, two hundred ninety-six".