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1097790705648 = 2433721321931521
BaseRepresentation
bin11111111100110010110…
…11001100111111110000
310212221120220212222122000
433332121123030333300
5120441233410040043
62200152412414000
7142212164015100
oct17763133147760
93787526788560
101097790705648
1139363026349a
12158913a77300
137c6a1171300
143b1c1ccb200
151d851a4a2d3
hexff996ccff0

1097790705648 has 1440 divisors, whose sum is σ = 4321137715200. Its totient is φ = 264931430400.

The previous prime is 1097790705643. The next prime is 1097790705653. The reversal of 1097790705648 is 8465070977901.

It is an interprime number because it is at equal distance from previous prime (1097790705643) and next prime (1097790705653).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097790705643) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2107083628 + ... + 2107084148.

It is an arithmetic number, because the mean of its divisors is an integer number (3000790080).

Almost surely, 21097790705648 is an apocalyptic number.

1097790705648 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 1097790705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160568857600).

1097790705648 is an abundant number, since it is smaller than the sum of its proper divisors (3223347009552).

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

1097790705648 is a wasteful number, since it uses less digits than its factorization.

1097790705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 1097790705648 in words is "one trillion, ninety-seven billion, seven hundred ninety million, seven hundred five thousand, six hundred forty-eight".