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1047389067072 = 263217360117489
BaseRepresentation
bin11110011110111010100…
…00001101011101000000
310201010111100022110110100
433033131100031131000
5114130023100121242
62121055222402400
7135446164114305
oct17173520153500
93633440273410
101047389067072
11374216906437
1214aba8590400
13779cb13822a
14389a00cb0ac
151c3a1cbb54c
hexf3dd40d740

1047389067072 has 168 divisors, whose sum is σ = 3024702200520. Its totient is φ = 346514227200.

The previous prime is 1047389067041. The next prime is 1047389067073. The reversal of 1047389067072 is 2707609837401.

1047389067072 is a `hidden beast` number, since 10 + 473 + 8 + 90 + 6 + 7 + 0 + 72 = 666.

1047389067072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 192770171136 + 854618895936 = 439056^2 + 924456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047389067073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59879704 + ... + 59897192.

It is an arithmetic number, because the mean of its divisors is an integer number (18004179765).

Almost surely, 21047389067072 is an apocalyptic number.

1047389067072 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 1047389067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512351100260).

1047389067072 is an abundant number, since it is smaller than the sum of its proper divisors (1977313133448).

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

1047389067072 is a wasteful number, since it uses less digits than its factorization.

1047389067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18281 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1047389067072 in words is "one trillion, forty-seven billion, three hundred eighty-nine million, sixty-seven thousand, seventy-two".