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16442027764721 = 135314921074889
BaseRepresentation
bin1110111101000011010100…
…1110010110101111110001
32011012211202011222211110222
43233100311032112233301
54123341233101432341
654545210245102425
73314616530021006
oct357206516265761
964184664884428
1016442027764721
11526a030037519
121a166a99b7a15
13923627024990
1440bb26ad38ad
151d7a6530544b
hexef435396bf1

16442027764721 has 24 divisors (see below), whose sum is σ = 18162798990840. Its totient is φ = 14790940429824.

The previous prime is 16442027764709. The next prime is 16442027764739. The reversal of 16442027764721 is 12746772024461.

It can be written as a sum of positive squares in 12 ways, for example, as 14668440403600 + 1773587361121 = 3829940^2 + 1331761^2 .

It is not a de Polignac number, because 16442027764721 - 214 = 16442027748337 is a prime.

It is a super-3 number, since 3×164420277647213 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16442027754721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14759045 + ... + 15833933.

It is an arithmetic number, because the mean of its divisors is an integer number (756783291285).

Almost surely, 216442027764721 is an apocalyptic number.

It is an amenable number.

16442027764721 is a deficient number, since it is larger than the sum of its proper divisors (1720771226119).

16442027764721 is a wasteful number, since it uses less digits than its factorization.

16442027764721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075253 (or 1075104 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 16442027764721 in words is "sixteen trillion, four hundred forty-two billion, twenty-seven million, seven hundred sixty-four thousand, seven hundred twenty-one".

Divisors: 1 13 53 149 689 1937 7897 22201 102661 288613 1074889 1176653 13973557 15296489 56969117 160158461 740598521 2082059993 8488398433 23863610689 110349179629 310226938957 1264771366517 16442027764721