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45327940592 = 24113122631019
BaseRepresentation
bin101010001101110000…
…010111101111110000
311022222222111221222112
4222031300113233300
51220312423044332
632453503024452
73163161065204
oct521560275760
9138888457875
1045327940592
1118250493730
12895029b128
134374b4272c
1422a0036b04
1512a461adb2
hexa8dc17bf0

45327940592 has 120 divisors (see below), whose sum is σ = 99470954880. Its totient is φ = 19843670400.

The previous prime is 45327940583. The next prime is 45327940597. The reversal of 45327940592 is 29504972354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45327940592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45327940597) 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 23 ways as a sum of consecutive naturals, for example, 44482259 + ... + 44483277.

It is an arithmetic number, because the mean of its divisors is an integer number (828924624).

Almost surely, 245327940592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45327940592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49735477440).

45327940592 is an abundant number, since it is smaller than the sum of its proper divisors (54143014288).

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

45327940592 is a wasteful number, since it uses less digits than its factorization.

45327940592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 45327940592 in words is "forty-five billion, three hundred twenty-seven million, nine hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 263 341 496 526 682 961 1019 1052 1364 1922 2038 2104 2728 2893 3844 4076 4208 5456 5786 7688 8152 8153 10571 11209 11572 15376 16304 16306 21142 22418 23144 31589 32612 42284 44836 46288 63178 65224 84568 89672 89683 126356 130448 169136 179344 179366 252712 252743 267997 347479 358732 505424 505486 535994 694958 717464 979259 1010972 1071988 1389916 1434928 1958518 2021944 2143976 2779832 2780173 2947967 3917036 4043888 4287952 5559664 5560346 5895934 7834072 8307907 10771849 11120692 11791868 15668144 16615814 21543698 22241384 23583736 33231628 43087396 44482768 47167472 66463256 86174792 91386977 132926512 172349584 182773954 257545117 365547908 515090234 731095816 1030180468 1462191632 2060360936 2832996287 4120721872 5665992574 11331985148 22663970296 45327940592