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1045653320544 = 25372396510593
BaseRepresentation
bin11110011011101011100…
…10110111001101100000
310200222000101012101211220
433031311302313031200
5114112444222224134
62120211055335040
7135355156400640
oct17156562671540
93628011171756
101045653320544
11373506048378
1214a7a3221480
13777b2654191
143887777c520
151c2ee706149
hexf375cb7360

1045653320544 has 96 divisors (see below), whose sum is σ = 3150085800960. Its totient is φ = 297508012032.

The previous prime is 1045653320381. The next prime is 1045653320597. The reversal of 1045653320544 is 4450233565401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1045653320496 and 1045653320505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3094689 + ... + 3415904.

It is an arithmetic number, because the mean of its divisors is an integer number (32813393760).

Almost surely, 21045653320544 is an apocalyptic number.

1045653320544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1045653320544 is an abundant number, since it is smaller than the sum of its proper divisors (2104432480416).

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

1045653320544 is a wasteful number, since it uses less digits than its factorization.

1045653320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510852 (or 6510844 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 1045653320544 its reverse (4450233565401), we get a palindrome (5495886885945).

The spelling of 1045653320544 in words is "one trillion, forty-five billion, six hundred fifty-three million, three hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 20076 22944 26768 40152 53536 80304 160608 6510593 13021186 19531779 26042372 39063558 45574151 52084744 78127116 91148302 104169488 136722453 156254232 182296604 208338976 273444906 312508464 364593208 546889812 625016928 729186416 1093779624 1458372832 1556031727 2187559248 3112063454 4375118496 4668095181 6224126908 9336190362 10892222089 12448253816 18672380724 21784444178 24896507632 32676666267 37344761448 43568888356 49793015264 65353332534 74689522896 87137776712 130706665068 149379045792 174275553424 261413330136 348551106848 522826660272 1045653320544