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1125033345504 = 25325217497823
BaseRepresentation
bin10000010111110001001…
…101101000000111100000
310222112220111201110222100
4100113301031220013200
5121413032014024004
62220455545010400
7144165242440065
oct20276115500740
93875814643870
101125033345504
113a413aaa2a92
12162057483a00
13821231b8453
143c648050c6c
151e3e855d739
hex105f13681e0

1125033345504 has 72 divisors (see below), whose sum is σ = 3205454720832. Its totient is φ = 374291274240.

The previous prime is 1125033345493. The next prime is 1125033345599. The reversal of 1125033345504 is 4055433305211.

1125033345504 is a `hidden beast` number, since 11 + 250 + 3 + 3 + 345 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 3598864 + ... + 3898959.

It is an arithmetic number, because the mean of its divisors is an integer number (44520204456).

Almost surely, 21125033345504 is an apocalyptic number.

It is an amenable number.

1125033345504 is an abundant number, since it is smaller than the sum of its proper divisors (2080421375328).

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

1125033345504 is a wasteful number, since it uses less digits than its factorization.

1125033345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498360 (or 7498349 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1125033345504 in words is "one trillion, one hundred twenty-five billion, thirty-three million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 16672 18756 25008 37512 50016 75024 150048 7497823 14995646 22493469 29991292 44986938 59982584 67480407 89973876 119965168 134960814 179947752 239930336 269921628 359895504 539843256 719791008 1079686512 2159373024 3906365783 7812731566 11719097349 15625463132 23438194698 31250926264 35157292047 46876389396 62501852528 70314584094 93752778792 125003705056 140629168188 187505557584 281258336376 375011115168 562516672752 1125033345504