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16114959872 = 291117374549
BaseRepresentation
bin11110000001000011…
…01100011000000000
31112121002010210002122
433000201230120000
5231000412203442
611223023303412
71110225620204
oct170041543000
945532123078
1016114959872
11691a524960
123158a4ab68
13169a83701b
14acc338b04
15644b52dd2
hex3c086c600

16114959872 has 160 divisors (see below), whose sum is σ = 38205367200. Its totient is φ = 6706298880.

The previous prime is 16114959829. The next prime is 16114959893. The reversal of 16114959872 is 27895941161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540254 + ... + 3544802.

It is an arithmetic number, because the mean of its divisors is an integer number (238783545).

Almost surely, 216114959872 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 16114959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102683600).

16114959872 is an abundant number, since it is smaller than the sum of its proper divisors (22090407328).

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

16114959872 is a wasteful number, since it uses less digits than its factorization.

16114959872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4616 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 53.

The spelling of 16114959872 in words is "sixteen billion, one hundred fourteen million, nine hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 128 136 148 176 187 256 272 296 352 374 407 512 544 592 629 704 748 814 1088 1184 1258 1408 1496 1628 2176 2368 2516 2816 2992 3256 4352 4549 4736 5032 5632 5984 6512 6919 8704 9098 9472 10064 11968 13024 13838 18196 18944 20128 23936 26048 27676 36392 40256 47872 50039 52096 55352 72784 77333 80512 95744 100078 104192 110704 145568 154666 161024 168313 200156 208384 221408 291136 309332 322048 336626 400312 442816 582272 618664 673252 800624 850663 885632 1164544 1237328 1346504 1601248 1701326 1771264 1851443 2329088 2474656 2693008 2861321 3202496 3402652 3542528 3702886 4949312 5386016 5722642 6404992 6805304 7405772 9898624 10772032 11445284 12809984 13610608 14811544 19797248 21544064 22890568 25619968 27221216 29623088 31474531 39594496 43088128 45781136 54442432 59246176 62949062 86176256 91562272 108884864 118492352 125898124 183124544 217769728 236984704 251796248 366249088 435539456 473969408 503592496 732498176 947938816 1007184992 1464996352 2014369984 4028739968 8057479936 16114959872