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20758238648 = 2374323473673
BaseRepresentation
bin10011010101010010…
…011001010110111000
31222120200021210010122
4103111102121112320
5320003102114043
613311453032412
71333260055130
oct232522312670
958520253118
1020758238648
118892536a34
124033a85708
131c5a7c8364
14100cc9dac0
158175e4368
hex4d54995b8

20758238648 has 64 divisors (see below), whose sum is σ = 45548194560. Its totient is φ = 8683428096.

The previous prime is 20758238639. The next prime is 20758238653. The reversal of 20758238648 is 84683285702.

It is a self number, because there is not a number n which added to its sum of digits gives 20758238648.

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 15 ways as a sum of consecutive naturals, for example, 5649740 + ... + 5653412.

It is an arithmetic number, because the mean of its divisors is an integer number (711690540).

Almost surely, 220758238648 is an apocalyptic number.

20758238648 is a gapful number since it is divisible by the number (28) 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 20758238648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774097280).

20758238648 is an abundant number, since it is smaller than the sum of its proper divisors (24789955912).

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

20758238648 is a wasteful number, since it uses less digits than its factorization.

20758238648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 20758238648 in words is "twenty billion, seven hundred fifty-eight million, two hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2347 2408 3673 4694 7346 9388 14692 16429 18776 25711 29384 32858 51422 65716 100921 102844 131432 157939 201842 205688 315878 403684 631756 706447 807368 1105573 1263512 1412894 2211146 2825788 4422292 5651576 8620531 8844584 17241062 34482124 60343717 68964248 120687434 241374868 370682833 482749736 741365666 1482731332 2594779831 2965462664 5189559662 10379119324 20758238648