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1034484852960 = 2532513371493539
BaseRepresentation
bin11110000110111000001…
…10100010100011100000
310122220012000202110112100
433003130012202203200
5113422111110243320
62111122532330400
7134511333110646
oct17033406424340
93586160673470
101034484852960
113697a4804379
121485a6a73a00
1376722862b90
14380d8377196
151bd98e8a790
hexf0dc1a28e0

1034484852960 has 288 divisors, whose sum is σ = 3904483957920. Its totient is φ = 247760031744.

The previous prime is 1034484852953. The next prime is 1034484853001. The reversal of 1034484852960 is 692584844301.

1034484852960 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 484 + 85 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10344848529602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034484852897 and 1034484852906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54130 + ... + 1439409.

It is an arithmetic number, because the mean of its divisors is an integer number (13557235965).

Almost surely, 21034484852960 is an apocalyptic number.

1034484852960 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 1034484852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952241978960).

1034484852960 is an abundant number, since it is smaller than the sum of its proper divisors (2869999104960).

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

1034484852960 is a wasteful number, since it uses less digits than its factorization.

1034484852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493610 (or 1493599 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1034484852960 in words is "one trillion, thirty-four billion, four hundred eighty-four million, eight hundred fifty-two thousand, nine hundred sixty".