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1345475403360 = 25325111071097283
BaseRepresentation
bin10011100101000100100…
…101010101111001100000
311202121220111100022002200
4103211010211111321200
5134021013200401420
62510034115213200
7166131064141314
oct23450445257140
94677814308080
101345475403360
11479681874880
12198918ba7200
1399b5465ac3a
144919b009b44
1524eeb46db90
hex13944955e60

1345475403360 has 576 divisors, whose sum is σ = 5102732194560. Its totient is φ = 320119050240.

The previous prime is 1345475403341. The next prime is 1345475403361. The reversal of 1345475403360 is 633045745431.

1345475403360 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 47 + 540 + 3 + 3 + 60 = 666.

It is a super-2 number, since 2×13454754033602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345475403361) 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, 184738279 + ... + 184745561.

It is an arithmetic number, because the mean of its divisors is an integer number (8858910060).

Almost surely, 21345475403360 is an apocalyptic number.

1345475403360 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 1345475403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551366097280).

1345475403360 is an abundant number, since it is smaller than the sum of its proper divisors (3757256791200).

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

1345475403360 is a wasteful number, since it uses less digits than its factorization.

1345475403360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 1345475403360 in words is "one trillion, three hundred forty-five billion, four hundred seventy-five million, four hundred three thousand, three hundred sixty".