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1343764803072 = 293173171103227
BaseRepresentation
bin10011100011011110100…
…111111010111000000000
311202110111021112210122110
4103203132213322320000
5134004012242144242
62505152251135320
7166040513236416
oct23433647727000
94673437483573
101343764803072
1147898422152a
12198520144540
139994113c813
1449077b652b6
1524e4b1c439c
hex138de9fae00

1343764803072 has 640 divisors, whose sum is σ = 4024007589888. Its totient is φ = 396568166400.

The previous prime is 1343764803071. The next prime is 1343764803091. The reversal of 1343764803072 is 2703084673431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343764803071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5919668623 + ... + 5919668849.

Almost surely, 21343764803072 is an apocalyptic number.

1343764803072 is a gapful number since it is divisible by the number (12) 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 1343764803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012003794944).

1343764803072 is an abundant number, since it is smaller than the sum of its proper divisors (2680242786816).

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

1343764803072 is a wasteful number, since it uses less digits than its factorization.

1343764803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 1343764803072 in words is "one trillion, three hundred forty-three billion, seven hundred sixty-four million, eight hundred three thousand, seventy-two".