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1097070027744 = 25319601463831
BaseRepresentation
bin11111111011011100111…
…10000010001111100000
310212212201200210202101210
433331232132002033200
5120433244411341434
62155553110030120
7142155263242245
oct17755636021740
93785650722353
101097070027744
113932a0480519
12158752648340
137c5b7a72092
143b1542cd5cc
151d80d640ee9
hexff6e7823e0

1097070027744 has 48 divisors (see below), whose sum is σ = 3031377713280. Its totient is φ = 346443166080.

The previous prime is 1097070027743. The next prime is 1097070027761. The reversal of 1097070027744 is 4477200707901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1097070027693 and 1097070027702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097070027743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300730092 + ... + 300733739.

It is an arithmetic number, because the mean of its divisors is an integer number (63153702360).

Almost surely, 21097070027744 is an apocalyptic number.

It is an amenable number.

1097070027744 is an abundant number, since it is smaller than the sum of its proper divisors (1934307685536).

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

1097070027744 is a wasteful number, since it uses less digits than its factorization.

1097070027744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601463863 (or 601463855 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 1097070027744 in words is "one trillion, ninety-seven billion, seventy million, twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 601463831 1202927662 1804391493 2405855324 3608782986 4811710648 7217565972 9623421296 11427812789 14435131944 19246842592 22855625578 28870263888 34283438367 45711251156 57740527776 68566876734 91422502312 137133753468 182845004624 274267506936 365690009248 548535013872 1097070027744