Search a number
-
+
1676681108640 = 253351278130367
BaseRepresentation
bin11000011001100001111…
…110110101110010100000
312221021210210022101221000
4120121201332311302200
5204432320330434030
63322131235032000
7232064502162366
oct30314176656240
95837723271830
101676681108640
1159709285834a
12230b5113b600
13c2158592bc5
145b21a76d636
152d93351c860
hex18661fb5ca0

1676681108640 has 192 divisors, whose sum is σ = 5869036293120. Its totient is φ = 447065256960.

The previous prime is 1676681108633. The next prime is 1676681108671. The reversal of 1676681108640 is 468011866761.

It is a super-2 number, since 2×16766811086402 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55198737 + ... + 55229103.

It is an arithmetic number, because the mean of its divisors is an integer number (30567897360).

Almost surely, 21676681108640 is an apocalyptic number.

1676681108640 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 1676681108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934518146560).

1676681108640 is an abundant number, since it is smaller than the sum of its proper divisors (4192355184480).

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

1676681108640 is a wasteful number, since it uses less digits than its factorization.

1676681108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43172 (or 43158 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1676681108640 in words is "one trillion, six hundred seventy-six billion, six hundred eighty-one million, one hundred eight thousand, six hundred forty".