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16421757121 = 711217273919
BaseRepresentation
bin11110100101101000…
…00010000011000001
31120101110102200210201
433102310002003001
5232112432211441
611313303125201
71120642426630
oct172264020301
946343380721
1016421757121
116a67721200
123223743801
131719274963
14b1ad9b517
15661a55c31
hex3d2d020c1

16421757121 has 72 divisors (see below), whose sum is σ = 22238195840. Its totient is φ = 11865553920.

The previous prime is 16421757091. The next prime is 16421757161. The reversal of 16421757121 is 12175712461.

It is not a de Polignac number, because 16421757121 - 27 = 16421756993 is a prime.

It is a super-2 number, since 2×164217571212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16421757161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17868700 + ... + 17869618.

Almost surely, 216421757121 is an apocalyptic number.

16421757121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16421757121 is a deficient number, since it is larger than the sum of its proper divisors (5816438719).

16421757121 is a wasteful number, since it uses less digits than its factorization.

16421757121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1027 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The spelling of 16421757121 in words is "sixteen billion, four hundred twenty-one million, seven hundred fifty-seven thousand, one hundred twenty-one".

Divisors: 1 7 11 17 73 77 119 121 187 289 511 803 847 919 1241 1309 2023 2057 3179 5621 6433 8687 8833 10109 13651 14399 15623 21097 22253 34969 61831 67087 70763 95557 109361 111199 147679 150161 171853 232067 244783 265591 469609 737957 778393 1051127 1140479 1202971 1624469 1859137 1890383 2552737 2921501 5165699 7983353 8117527 12545269 13232681 17869159 19388143 20450507 32136511 56822689 87816883 135717001 137997959 213269573 224955577 965985713 1492887011 2345965303 16421757121