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53442345306 = 2377323097549
BaseRepresentation
bin110001110001011010…
…010111100101011010
312002221111012102122110
4301301122113211122
51333422220022211
640315010533150
73601231303620
oct616132274532
9162844172573
1053442345306
11207348a1029
12a4358971b6
135068ca0a3c
14282d9a1510
1515cbbb3ea6
hexc7169795a

53442345306 has 64 divisors (see below), whose sum is σ = 123897312000. Its totient is φ = 15051557376.

The previous prime is 53442345293. The next prime is 53442345347. The reversal of 53442345306 is 60354324435.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7075620 + ... + 7083168.

It is an arithmetic number, because the mean of its divisors is an integer number (1935895500).

Almost surely, 253442345306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53442345306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61948656000).

53442345306 is an abundant number, since it is smaller than the sum of its proper divisors (70454966694).

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

53442345306 is a wasteful number, since it uses less digits than its factorization.

53442345306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943.

The product of its (nonzero) digits is 518400, while the sum is 39.

The spelling of 53442345306 in words is "fifty-three billion, four hundred forty-two million, three hundred forty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 2309 3066 4618 6927 7549 13854 15098 16163 22647 32326 45294 48489 52843 96978 105686 158529 168557 317058 337114 505671 551077 1011342 1102154 1179899 1653231 2359798 3306462 3539697 3857539 7079394 7715078 11572617 17430641 23145234 34861282 52291923 104583846 122014487 244028974 366043461 732086922 1272436793 2544873586 3817310379 7634620758 8907057551 17814115102 26721172653 53442345306