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1097224638048 = 25327211139211241
BaseRepresentation
bin11111111011101111010…
…11110100111001100000
310212220010110201202212100
433331313223310321200
5120434104001404143
62200020311530400
7142162151353200
oct17756753647140
93786113652770
101097224638048
1139336a781530
12158796389a00
137c610ac6576
143b16aa58400
151d81bed16d3
hexff77af4e60

1097224638048 has 864 divisors, whose sum is σ = 4023641381760. Its totient is φ = 280433664000.

The previous prime is 1097224638043. The next prime is 1097224638049. The reversal of 1097224638048 is 8408364227901.

1097224638048 is a `hidden beast` number, since 10 + 9 + 7 + 2 + 246 + 380 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1097224637985 and 1097224638003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097224638043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4552799208 + ... + 4552799448.

It is an arithmetic number, because the mean of its divisors is an integer number (4656992340).

Almost surely, 21097224638048 is an apocalyptic number.

1097224638048 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 1097224638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011820690880).

1097224638048 is an abundant number, since it is smaller than the sum of its proper divisors (2926416743712).

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

1097224638048 is a wasteful number, since it uses less digits than its factorization.

1097224638048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1097224638048 in words is "one trillion, ninety-seven billion, two hundred twenty-four million, six hundred thirty-eight thousand, forty-eight".