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1041749031072 = 25327533941719
BaseRepresentation
bin11110010100011010001…
…01001011100010100000
310200120221021120221120010
433022031011023202200
5114032000222443242
62114323425044520
7135156340442541
oct17121505134240
93616837527503
101041749031072
11371892195962
12149a93786740
137730c803a19
14385c70204c8
151c171a8989c
hexf28d14b8a0

1041749031072 has 48 divisors (see below), whose sum is σ = 2735585213760. Its totient is φ = 347123453952.

The previous prime is 1041749031023. The next prime is 1041749031139. The reversal of 1041749031072 is 2701309471401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1041749031072.

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 7 ways as a sum of consecutive naturals, for example, 1706572 + ... + 2235147.

It is an arithmetic number, because the mean of its divisors is an integer number (56991358620).

Almost surely, 21041749031072 is an apocalyptic number.

1041749031072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1041749031072 is an abundant number, since it is smaller than the sum of its proper divisors (1693836182688).

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

1041749031072 is a wasteful number, since it uses less digits than its factorization.

1041749031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944485 (or 3944477 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1041749031072 in words is "one trillion, forty-one billion, seven hundred forty-nine million, thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2753 5506 8259 11012 16518 22024 33036 44048 66072 88096 132144 264288 3941719 7883438 11825157 15766876 23650314 31533752 47300628 63067504 94601256 126135008 189202512 378405024 10851552407 21703104814 32554657221 43406209628 65109314442 86812419256 130218628884 173624838512 260437257768 347249677024 520874515536 1041749031072