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1025412104640 = 263571115191867
BaseRepresentation
bin11101110101111110101…
…00110000000111000000
310122000202201210002120210
432322333110300013000
5113300020444322030
62103022352034120
7134040445035450
oct16727724600700
93560681702523
101025412104640
11365969445270
12146894532940
1375907cc1151
14378b7425d60
151ba176ddbb0
hexeebf5301c0

1025412104640 has 448 divisors, whose sum is σ = 4085959385088. Its totient is φ = 211659264000.

The previous prime is 1025412104611. The next prime is 1025412104677. The reversal of 1025412104640 is 464012145201.

1025412104640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1025412104598 and 1025412104607.

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, 11115987 + ... + 11207853.

It is an arithmetic number, because the mean of its divisors is an integer number (9120445056).

Almost surely, 21025412104640 is an apocalyptic number.

1025412104640 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 1025412104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042979692544).

1025412104640 is an abundant number, since it is smaller than the sum of its proper divisors (3060547280448).

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

1025412104640 is a wasteful number, since it uses less digits than its factorization.

1025412104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92056 (or 92046 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1025412104640 its reverse (464012145201), we get a palindrome (1489424249841).

The spelling of 1025412104640 in words is "one trillion, twenty-five billion, four hundred twelve million, one hundred four thousand, six hundred forty".