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45300123520 = 275142349741
BaseRepresentation
bin101010001100000110…
…010000011110000000
311022221001011201010121
4222030012100132000
51220233312423040
632451030510024
73162402460651
oct521406203600
9138831151117
1045300123520
1118236814313
128942b05314
13436c153222
14229a475528
1512a1e73c4a
hexa8c190780

45300123520 has 64 divisors (see below), whose sum is σ = 108373890240. Its totient is φ = 18106951680.

The previous prime is 45300123487. The next prime is 45300123521. The reversal of 45300123520 is 2532100354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300123521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885850 + ... + 935590.

It is an arithmetic number, because the mean of its divisors is an integer number (1693342035).

Almost surely, 245300123520 is an apocalyptic number.

45300123520 is a gapful number since it is divisible by the number (40) 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 45300123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54186945120).

45300123520 is an abundant number, since it is smaller than the sum of its proper divisors (63073766720).

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

45300123520 is a wasteful number, since it uses less digits than its factorization.

45300123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51183 (or 51171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 45300123520 its reverse (2532100354), we get a palindrome (47832223874).

The spelling of 45300123520 in words is "forty-five billion, three hundred million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1423 2846 5692 7115 11384 14230 22768 28460 45536 49741 56920 91072 99482 113840 182144 198964 227680 248705 397928 455360 497410 795856 910720 994820 1591712 1989640 3183424 3979280 6366848 7958560 15917120 31834240 70781443 141562886 283125772 353907215 566251544 707814430 1132503088 1415628860 2265006176 2831257720 4530012352 5662515440 9060024704 11325030880 22650061760 45300123520