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14067362010 = 235131271911487
BaseRepresentation
bin11010001100111101…
…01110100011011010
31100022101020000212210
431012132232203122
5212302221041020
610243520215550
71005413414142
oct150636564332
940271200783
1014067362010
115a69728319
12288716a5b6
131432565a60
1497640d922
15574edc3e0
hex3467ae8da

14067362010 has 128 divisors (see below), whose sum is σ = 36861640704. Its totient is φ = 3415184640.

The previous prime is 14067361999. The next prime is 14067362027. The reversal of 14067362010 is 1026376041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9459487 + ... + 9460973.

It is an arithmetic number, because the mean of its divisors is an integer number (287981568).

Almost surely, 214067362010 is an apocalyptic number.

14067362010 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 14067362010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430820352).

14067362010 is an abundant number, since it is smaller than the sum of its proper divisors (22794278694).

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

14067362010 is a wasteful number, since it uses less digits than its factorization.

14067362010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 14067362010 in words is "fourteen billion, sixty-seven million, three hundred sixty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 191 195 254 381 382 390 573 635 762 955 1146 1270 1487 1651 1905 1910 2483 2865 2974 3302 3810 4461 4953 4966 5730 7435 7449 8255 8922 9906 12415 14870 14898 16510 19331 22305 24257 24765 24830 37245 38662 44610 48514 49530 57993 72771 74490 96655 115986 121285 145542 188849 193310 242570 284017 289965 315341 363855 377698 566547 568034 579930 630682 727710 852051 944245 946023 1133094 1420085 1576705 1704102 1888490 1892046 2455037 2832735 2840170 3153410 3692221 4260255 4730115 4910074 5665470 7365111 7384442 8520510 9460230 11076663 12275185 14730222 18461105 22153326 24550370 36070159 36825555 36922210 55383315 72140318 73651110 108210477 110766630 180350795 216420954 360701590 468912067 541052385 937824134 1082104770 1406736201 2344560335 2813472402 4689120670 7033681005 14067362010