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16145718900 = 22352296918127
BaseRepresentation
bin11110000100101110…
…00001111001110100
31112200020000111112220
433002113001321310
5231031301001100
611230042442340
71111051226523
oct170227017164
945606014486
1016145718900
116935923643
1231672033b0
1316a401662c
14ad24644ba
156476cbaa0
hex3c25c1e74

16145718900 has 72 divisors (see below), whose sum is σ = 46733258880. Its totient is φ = 4303837440.

The previous prime is 16145718899. The next prime is 16145718947. The reversal of 16145718900 is 981754161.

16145718900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 881637 + ... + 899763.

It is an arithmetic number, because the mean of its divisors is an integer number (649073040).

Almost surely, 216145718900 is an apocalyptic number.

16145718900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16145718900 is an abundant number, since it is smaller than the sum of its proper divisors (30587539980).

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

16145718900 is a wasteful number, since it uses less digits than its factorization.

16145718900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21113 (or 21106 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 16145718900 in words is "sixteen billion, one hundred forty-five million, seven hundred eighteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2969 5938 8907 11876 14845 17814 18127 29690 35628 36254 44535 54381 59380 72508 74225 89070 90635 108762 148450 178140 181270 217524 222675 271905 296900 362540 445350 453175 543810 890700 906350 1087620 1359525 1812700 2719050 5438100 53819063 107638126 161457189 215276252 269095315 322914378 538190630 645828756 807285945 1076381260 1345476575 1614571890 2690953150 3229143780 4036429725 5381906300 8072859450 16145718900