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16657713071140 = 22531199373361961
BaseRepresentation
bin1111001001100110110100…
…0100100000010000100100
32011222110110122221122100011
43302121231010200100210
54140404444021234030
655232240413500004
73336323441620231
oct362315504402044
964873418848304
1016657713071140
115342550843579
121a504624a1604
1393aa7ab5624b
1441834802a788
151dd48a80cb2a
hexf266d120424

16657713071140 has 96 divisors (see below), whose sum is σ = 36388474214400. Its totient is φ = 6398526182400.

The previous prime is 16657713071123. The next prime is 16657713071201. The reversal of 16657713071140 is 4117031775661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45839760 + ... + 46201720.

It is an arithmetic number, because the mean of its divisors is an integer number (379046606400).

Almost surely, 216657713071140 is an apocalyptic number.

16657713071140 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 16657713071140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194237107200).

16657713071140 is an abundant number, since it is smaller than the sum of its proper divisors (19730761143260).

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

16657713071140 is a wasteful number, since it uses less digits than its factorization.

16657713071140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362573 (or 362571 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 16657713071140 in words is "sixteen trillion, six hundred fifty-seven billion, seven hundred thirteen million, seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 373 398 620 746 796 995 1492 1865 1990 3730 3980 6169 7460 11563 12338 23126 24676 30845 46252 57815 61690 74227 115630 123380 148454 231260 296908 361961 371135 723922 742270 1447844 1484540 1809805 2301037 3619610 4602074 7239220 9204148 11220791 11505185 22441582 23010370 44883164 46020740 56103955 72030239 112207910 135011453 144060478 224415820 270022906 288120956 360151195 540045812 675057265 720302390 1350114530 1440604780 2232937409 2700229060 4185355043 4465874818 8370710086 8931749636 11164687045 16741420172 20926775215 22329374090 26867279147 41853550430 44658748180 53734558294 83707100860 107469116588 134336395735 268672791470 537345582940 832885653557 1665771307114 3331542614228 4164428267785 8328856535570 16657713071140