Search a number
-
+
1928547831054 = 23131742361211
BaseRepresentation
bin11100000100000110011…
…010001000110100001110
320211100220210222120210110
4130010012122020310032
5223044131221043204
64033543533020450
7256222133042505
oct34040632106416
96740823876713
101928547831054
1168398aa78799
12271922924726
1310cb27303870
14694b106583c
153527516e889
hex1c106688d0e

1928547831054 has 320 divisors, whose sum is σ = 4702971990528. Its totient is φ = 522963302400.

The previous prime is 1928547831043. The next prime is 1928547831073. The reversal of 1928547831054 is 4501387458291.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1928547830985 and 1928547831003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9140037009 + ... + 9140037219.

Almost surely, 21928547831054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928547831054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351485995264).

1928547831054 is an abundant number, since it is smaller than the sum of its proper divisors (2774424159474).

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

1928547831054 is a wasteful number, since it uses less digits than its factorization.

1928547831054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 1928547831054 in words is "one trillion, nine hundred twenty-eight billion, five hundred forty-seven million, eight hundred thirty-one thousand, fifty-four".