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16820325738 = 23219437511523
BaseRepresentation
bin11111010101001000…
…11100110101101010
31121102020102002011100
433222210130311222
5233422000410423
611421021542230
71133552260356
oct175244346552
947366362140
1016820325738
1171516a9757
123315114976
131780a04888
14b57cac466
15686a35343
hex3ea91cd6a

16820325738 has 96 divisors (see below), whose sum is σ = 39332367360. Its totient is φ = 5177844000.

The previous prime is 16820325721. The next prime is 16820325749. The reversal of 16820325738 is 83752302861.

16820325738 is a `hidden beast` number, since 168 + 203 + 257 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16820325693 and 16820325702.

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 47 ways as a sum of consecutive naturals, for example, 11043445 + ... + 11044967.

It is an arithmetic number, because the mean of its divisors is an integer number (409712160).

Almost surely, 216820325738 is an apocalyptic number.

16820325738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16820325738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666183680).

16820325738 is an abundant number, since it is smaller than the sum of its proper divisors (22512041622).

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

16820325738 is a wasteful number, since it uses less digits than its factorization.

16820325738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16820325738 in words is "sixteen billion, eight hundred twenty million, three hundred twenty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 751 774 817 1502 1523 1634 2253 2451 3046 4506 4569 4902 6759 7353 9138 13518 13707 14269 14706 27414 28538 28937 32293 42807 57874 64586 65489 85614 86811 96879 128421 130978 173622 193758 196467 256842 260433 290637 392934 520866 581274 589401 613567 1143773 1178802 1227134 1244291 1840701 2287546 2488582 3431319 3681402 3732873 5522103 6862638 7465746 10293957 11044206 11198619 20587914 21731687 22397238 43463374 49182239 65195061 98364478 130390122 147546717 195585183 295093434 391170366 442640151 885280302 934462541 1868925082 2803387623 5606775246 8410162869 16820325738