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16161221640 = 2335718921313
BaseRepresentation
bin11110000110100100…
…01010110000001000
31112201022012010022110
433003102022300020
5231044233043030
611231355022320
71111330055154
oct170322126010
945638163273
1016161221640
116943652023
12317043a9a0
1316a72b3a55
14ad453c064
15648c401b0
hex3c348ac08

16161221640 has 128 divisors (see below), whose sum is σ = 49721299200. Its totient is φ = 4201021440.

The previous prime is 16161221627. The next prime is 16161221669. The reversal of 16161221640 is 4612216161.

It is a super-2 number, since 2×161612216402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16161221598 and 16161221607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747624 + ... + 768936.

It is an arithmetic number, because the mean of its divisors is an integer number (388447650).

Almost surely, 216161221640 is an apocalyptic number.

16161221640 is a gapful number since it is divisible by the number (10) 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 16161221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860649600).

16161221640 is an abundant number, since it is smaller than the sum of its proper divisors (33560077560).

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

16161221640 is a wasteful number, since it uses less digits than its factorization.

16161221640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21487 (or 21483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 16161221640 in words is "sixteen billion, one hundred sixty-one million, two hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 89 120 142 178 213 267 284 355 356 426 445 534 568 710 712 852 890 1065 1068 1335 1420 1704 1780 2130 2136 2670 2840 3560 4260 5340 6319 8520 10680 12638 18957 21313 25276 31595 37914 42626 50552 63190 63939 75828 85252 94785 106565 126380 127878 151656 170504 189570 213130 252760 255756 319695 379140 426260 511512 639390 758280 852520 1278780 1513223 1896857 2557560 3026446 3793714 4539669 5690571 6052892 7566115 7587428 9079338 9484285 11381142 12105784 15132230 15174856 18158676 18968570 22698345 22762284 28452855 30264460 36317352 37937140 45396690 45524568 56905710 60528920 75874280 90793380 113811420 134676847 181586760 227622840 269353694 404030541 538707388 673384235 808061082 1077414776 1346768470 1616122164 2020152705 2693536940 3232244328 4040305410 5387073880 8080610820 16161221640