Search a number
-
+
1025246704560 = 2435131729666541
BaseRepresentation
bin11101110101101010111…
…01110011001110110000
310122000100012112220022220
432322311131303032300
5113244201124021220
62102554123001040
7134033366125461
oct16726535631660
93560305486286
101025246704560
11365894044791
12146849069180
13758ac95c790
143789d48cd68
151ba07e1b540
hexeeb57733b0

1025246704560 has 320 divisors, whose sum is σ = 3749058794880. Its totient is φ = 229332418560.

The previous prime is 1025246704499. The next prime is 1025246704579. The reversal of 1025246704560 is 654076425201.

It is a super-2 number, since 2×10252467045602 (a number of 25 digits) contains 22 as substring.

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, 1204890 + ... + 1871430.

It is an arithmetic number, because the mean of its divisors is an integer number (11715808734).

Almost surely, 21025246704560 is an apocalyptic number.

1025246704560 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 1025246704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874529397440).

1025246704560 is an abundant number, since it is smaller than the sum of its proper divisors (2723812090320).

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

1025246704560 is a wasteful number, since it uses less digits than its factorization.

1025246704560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666616 (or 666610 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 1025246704560 in words is "one trillion, twenty-five billion, two hundred forty-six million, seven hundred four thousand, five hundred sixty".