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104607020448 = 25327317167373
BaseRepresentation
bin110000101101100010…
…0000111010110100000
3101000000020120020012200
41201123010013112200
53203213344123243
6120020015253200
710362155001000
oct1413304072640
9330006506180
10104607020448
11403aaa32817
121833481a200
139b31117348
1450c4c68000
152ac3917ad3
hex185b1075a0

104607020448 has 576 divisors, whose sum is σ = 370507737600. Its totient is φ = 27886215168.

The previous prime is 104607020443. The next prime is 104607020503. The reversal of 104607020448 is 844020706401.

104607020448 is a `hidden beast` number, since 1 + 0 + 4 + 607 + 0 + 2 + 0 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104607020443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280447590 + ... + 280447962.

It is an arithmetic number, because the mean of its divisors is an integer number (643242600).

Almost surely, 2104607020448 is an apocalyptic number.

104607020448 is a gapful number since it is divisible by the number (18) 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 104607020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185253868800).

104607020448 is an abundant number, since it is smaller than the sum of its proper divisors (265900717152).

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

104607020448 is a wasteful number, since it uses less digits than its factorization.

104607020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 104607020448 its reverse (844020706401), we get a palindrome (948627726849).

The spelling of 104607020448 in words is "one hundred four billion, six hundred seven million, twenty thousand, four hundred forty-eight".