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23827304816 = 2473141592837
BaseRepresentation
bin10110001100001101…
…111101000101110000
32021111120021111102222
4112030031331011300
5342244242223231
614540205500212
71502314514660
oct261415750560
967446244388
1023827304816
11a11798a857
12474b871668
1323295b2343
1412207241a0
15946c7c27b
hex58c37d170

23827304816 has 160 divisors (see below), whose sum is σ = 56756367360. Its totient is φ = 9474508800.

The previous prime is 23827304803. The next prime is 23827304819. The reversal of 23827304816 is 61840372832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23827304819) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8397350 + ... + 8400186.

It is an arithmetic number, because the mean of its divisors is an integer number (354727296).

Almost surely, 223827304816 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 23827304816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28378183680).

23827304816 is an abundant number, since it is smaller than the sum of its proper divisors (32929062544).

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

23827304816 is a wasteful number, since it uses less digits than its factorization.

23827304816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 23827304816 in words is "twenty-three billion, eight hundred twenty-seven million, three hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 59 62 82 112 118 124 164 217 236 248 287 328 413 434 472 496 574 656 826 868 944 1148 1271 1652 1736 1829 2296 2419 2542 2837 3304 3472 3658 4592 4838 5084 5674 6608 7316 8897 9676 10168 11348 12803 14632 16933 17794 19352 19859 20336 22696 25606 29264 33866 35588 38704 39718 45392 51212 67732 71176 74989 79436 87947 102424 116317 135464 142352 149978 158872 167383 175894 204848 232634 270928 299956 317744 334766 351788 465268 524923 599912 615629 669532 703576 814219 930536 1049846 1171681 1199824 1231258 1339064 1407152 1628438 1861072 2099692 2343362 2462516 2678128 3256876 3605827 4199384 4686724 4925032 5188873 6513752 6862703 7211654 8398768 9373448 9850064 10377746 13027504 13725406 14423308 18746896 20755492 25240789 27450812 28846616 36322111 41510984 48038921 50481578 54901624 57693232 72644222 83021968 96077842 100963156 109803248 145288444 192155684 201926312 212743793 290576888 384311368 403852624 425487586 581153776 768622736 850975172 1489206551 1701950344 2978413102 3403900688 5956826204 11913652408 23827304816