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2909323264 = 214416171
BaseRepresentation
bin1010110101101000…
…1100000000000000
321111202101221020111
42231122030000000
521424241321024
61200404521104
7132044561011
oct25532140000
97452357214
102909323264
1112632676a1
126923b0194
13374986573
141d8561008
15120631a94
hexad68c000

2909323264 has 120 divisors (see below), whose sum is σ = 6143419296. Its totient is φ = 1376256000.

The previous prime is 2909323211. The next prime is 2909323279. The reversal of 2909323264 is 4623239092.

It is a super-2 number, since 2×29093232642 = 16928323708903227392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40976349 + ... + 40976419.

Almost surely, 22909323264 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 2909323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071709648).

2909323264 is an abundant number, since it is smaller than the sum of its proper divisors (3234096032).

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

2909323264 is an frugal number, since it uses more digits than its factorization.

2909323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 2909323264 is about 53938.1429417068. The cubic root of 2909323264 is about 1427.5697165996.

The spelling of 2909323264 in words is "two billion, nine hundred nine million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 61 64 71 82 122 128 142 164 244 256 284 328 488 512 568 656 976 1024 1136 1312 1952 2048 2272 2501 2624 2911 3904 4096 4331 4544 5002 5248 5822 7808 8192 8662 9088 10004 10496 11644 15616 16384 17324 18176 20008 20992 23288 31232 34648 36352 40016 41984 46576 62464 69296 72704 80032 83968 93152 124928 138592 145408 160064 167936 177571 186304 249856 277184 290816 320128 335872 355142 372608 499712 554368 581632 640256 671744 710284 745216 999424 1108736 1163264 1280512 1420568 1490432 2217472 2561024 2841136 2980864 4434944 5122048 5682272 5961728 8869888 10244096 11364544 11923456 17739776 20488192 22729088 23846912 35479552 40976384 45458176 47693824 70959104 90916352 181832704 363665408 727330816 1454661632 2909323264