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1047942185472 = 2933713833033
BaseRepresentation
bin11110011111111100011…
…10001100001000000000
310201011220220002210021000
433033332032030020000
5114132141144413342
62121230141532000
7135465661414350
oct17177616141000
93634826083230
101047942185472
11374480053486
1214b121874000
1377a888cac20
1438a1374cb60
151c3d562844c
hexf3fe38c200

1047942185472 has 320 divisors, whose sum is σ = 3817828143360. Its totient is φ = 276380024832.

The previous prime is 1047942185471. The next prime is 1047942185483. The reversal of 1047942185472 is 2745812497401.

It is a happy number.

1047942185472 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 94 + 2 + 1 + 8 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1047942185471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841468 + ... + 1674500.

It is an arithmetic number, because the mean of its divisors is an integer number (11930712948).

Almost surely, 21047942185472 is an apocalyptic number.

1047942185472 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 1047942185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908914071680).

1047942185472 is an abundant number, since it is smaller than the sum of its proper divisors (2769885957888).

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

1047942185472 is an equidigital number, since it uses as much as digits as its factorization.

1047942185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833080 (or 833058 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1047942185472 in words is "one trillion, forty-seven billion, nine hundred forty-two million, one hundred eighty-five thousand, four hundred seventy-two".