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16322264364 = 22372236431877
BaseRepresentation
bin11110011001110000…
…11111110100101100
31120010112012221101210
433030320133310230
5231411444424424
611255350434420
71115323646400
oct171470376454
946115187353
1016322264364
116a1654688a
1231b6362a10
13170177acc3
14b0ba9d100
15657e51729
hex3cce1fd2c

16322264364 has 144 divisors (see below), whose sum is σ = 46326083328. Its totient is φ = 4451432832.

The previous prime is 16322264363. The next prime is 16322264423. The reversal of 16322264364 is 46346222361.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16322264363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8694994 + ... + 8696870.

It is an arithmetic number, because the mean of its divisors is an integer number (321708912).

Almost surely, 216322264364 is an apocalyptic number.

16322264364 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 16322264364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23163041664).

16322264364 is an abundant number, since it is smaller than the sum of its proper divisors (30003818964).

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

16322264364 is a wasteful number, since it uses less digits than its factorization.

16322264364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2555 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The spelling of 16322264364 in words is "sixteen billion, three hundred twenty-two million, two hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 643 644 966 1127 1286 1877 1929 1932 2254 2572 3381 3754 3858 4501 4508 5631 6762 7508 7716 9002 11262 13139 13503 13524 14789 18004 22524 26278 27006 29578 31507 39417 43171 44367 52556 54012 59156 63014 78834 86342 88734 91973 94521 103523 126028 129513 157668 172684 177468 183946 189042 207046 259026 275919 302197 310569 367892 378084 414092 518052 551838 604394 621138 724661 906591 1103676 1206911 1208788 1242276 1449322 1813182 2115379 2173983 2413822 2898644 3620733 3626364 4230758 4347966 4827644 6346137 7241466 8448377 8461516 8695932 12692274 14482932 16896754 25345131 25384548 27758953 33793508 50690262 55517906 59138639 83276859 101380524 111035812 118277278 166553718 177415917 194312671 236554556 333107436 354831834 388625342 582938013 709663668 777250684 1165876026 1360188697 2331752052 2720377394 4080566091 5440754788 8161132182 16322264364