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16506444444 = 2237538094583
BaseRepresentation
bin11110101111101110…
…00101101010011100
31120121100210020222020
433113313011222130
5232301122210234
611325530220140
71123021314510
oct172767055234
946540706866
1016506444444
117000504026
123247b84650
1317309866b9
14b28324140
156691d3549
hex3d7dc5a9c

16506444444 has 96 divisors (see below), whose sum is σ = 44912931840. Its totient is φ = 4620415488.

The previous prime is 16506444433. The next prime is 16506444463. The reversal of 16506444444 is 44444460561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16506444396 and 16506444405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3599377 + ... + 3603959.

It is an arithmetic number, because the mean of its divisors is an integer number (467843040).

Almost surely, 216506444444 is an apocalyptic number.

16506444444 is a gapful number since it is divisible by the number (14) 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 16506444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22456465920).

16506444444 is an abundant number, since it is smaller than the sum of its proper divisors (28406487396).

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

16506444444 is a wasteful number, since it uses less digits than its factorization.

16506444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 16506444444 in words is "sixteen billion, five hundred six million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 809 1113 1484 1618 2226 2427 3236 4452 4583 4854 5663 9166 9708 11326 13749 16989 18332 22652 27498 32081 33978 42877 54996 64162 67956 85754 96243 128324 128631 171508 192486 242899 257262 300139 384972 485798 514524 600278 728697 900417 971596 1200556 1457394 1700293 1800834 2914788 3400586 3601668 3707647 5100879 6801172 7415294 10201758 11122941 14830588 20403516 22245882 25953529 44491764 51907058 77860587 103814116 155721174 196505291 311442348 393010582 589515873 786021164 1179031746 1375537037 2358063492 2751074074 4126611111 5502148148 8253222222 16506444444