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14016500010 = 235521127337
BaseRepresentation
bin11010000110111001…
…01101000100101010
31100011211111222100000
431003130231010222
5212201211000020
610234502123430
71004225166342
oct150334550452
940154458300
1014016500010
115a42a48a07
122872120576
131424b681b6
1496d76dd22
155707e2090
hex34372d12a

14016500010 has 96 divisors (see below), whose sum is σ = 37973138112. Its totient is φ = 3719882880.

The previous prime is 14016499993. The next prime is 14016500011. The reversal of 14016500010 is 1000561041.

14016500010 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 650 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14016500011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499062 + ... + 526398.

It is an arithmetic number, because the mean of its divisors is an integer number (395553522).

Almost surely, 214016500010 is an apocalyptic number.

14016500010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14016500010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986569056).

14016500010 is an abundant number, since it is smaller than the sum of its proper divisors (23956638102).

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

14016500010 is a wasteful number, since it uses less digits than its factorization.

14016500010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27570 (or 27558 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 14016500010 in words is "fourteen billion, sixteen million, five hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 211 243 270 405 422 486 633 810 1055 1215 1266 1899 2110 2430 3165 3798 5697 6330 9495 11394 17091 18990 27337 28485 34182 51273 54674 56970 82011 85455 102546 136685 164022 170910 246033 256365 273370 410055 492066 512730 738099 820110 1230165 1476198 2214297 2460330 3690495 4428594 5768107 6642891 7380990 11071485 11536214 13285782 17304321 22142970 28840535 33214455 34608642 51912963 57681070 66428910 86521605 103825926 155738889 173043210 259564815 311477778 467216667 519129630 778694445 934433334 1401650001 1557388890 2336083335 2803300002 4672166670 7008250005 14016500010