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16442020000377 = 3217234672355783
BaseRepresentation
bin1110111101000011010011…
…0000101111001001111001
32011012211201122101100210200
43233100310300233021321
54123341224110003002
654545205410432413
73314616404022306
oct357206460571171
964184648340720
1016442020000377
11526a026714004
121a166a7292709
139236255368aa
1440bb25a720ad
151d7a647beb1c
hexef434c2f279

16442020000377 has 24 divisors (see below), whose sum is σ = 26239950082944. Its totient is φ = 9868015411584.

The previous prime is 16442020000291. The next prime is 16442020000379. The reversal of 16442020000377 is 77300002024461.

16442020000377 is a `hidden beast` number, since 1 + 6 + 442 + 0 + 200 + 0 + 0 + 3 + 7 + 7 = 666.

It is not a de Polignac number, because 16442020000377 - 226 = 16441952891513 is a prime.

It is a super-3 number, since 3×164420200003773 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442020000379) 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, 2336174373 + ... + 2336181410.

It is an arithmetic number, because the mean of its divisors is an integer number (1093331253456).

Almost surely, 216442020000377 is an apocalyptic number.

16442020000377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16442020000377 is a deficient number, since it is larger than the sum of its proper divisors (9797930082567).

16442020000377 is a wasteful number, since it uses less digits than its factorization.

16442020000377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672355829 (or 4672355826 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 16442020000377 in words is "sixteen trillion, four hundred forty-two billion, twenty million, three hundred seventy-seven", and thus it is an aban number.

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 4672355783 14017067349 42051202047 79430048311 107464183009 238290144933 322392549027 714870434799 967177647081 1826891111153 5480673333459 16442020000377