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67114547214 = 2311131731148429
BaseRepresentation
bin111110100000010101…
…101011100000001110
320102020022212020202220
4332200111223200032
52044422311002324
650455413400210
74564106144601
oct764025534016
9212208766686
1067114547214
1126510459750
1211010639066
1364376cb140
14336970a338
151b2c146b79
hexfa056b80e

67114547214 has 128 divisors (see below), whose sum is σ = 172359290880. Its totient is φ = 17098905600.

The previous prime is 67114547179. The next prime is 67114547243. The reversal of 67114547214 is 41274541176.

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 63 ways as a sum of consecutive naturals, for example, 377952 + ... + 526380.

It is an arithmetic number, because the mean of its divisors is an integer number (1346556960).

Almost surely, 267114547214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67114547214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86179645440).

67114547214 is an abundant number, since it is smaller than the sum of its proper divisors (105244743666).

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

67114547214 is a wasteful number, since it uses less digits than its factorization.

67114547214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148506.

The product of its digits is 188160, while the sum is 42.

The spelling of 67114547214 in words is "sixty-seven billion, one hundred fourteen million, five hundred forty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 31 33 34 39 51 62 66 78 93 102 143 186 187 221 286 341 374 403 429 442 527 561 663 682 806 858 1023 1054 1122 1209 1326 1581 2046 2418 2431 3162 4433 4862 5797 6851 7293 8866 11594 13299 13702 14586 17391 20553 26598 34782 41106 75361 148429 150722 226083 296858 445287 452166 890574 1632719 1929577 2523293 3265438 3859154 4601299 4898157 5046586 5788731 7569879 9202598 9796314 11577462 13803897 15139758 21225347 27607794 27756223 32802809 42450694 50614289 55512446 59816887 63676041 65605618 78222083 83268669 98408427 101228578 119633774 127352082 151842867 156444166 166537338 179450661 196816854 234666249 303685734 358901322 360830899 469332498 657985757 721661798 860442913 1016887079 1082492697 1315971514 1720885826 1973957271 2033774158 2164985394 2581328739 3050661237 3947914542 5162657478 6101322474 11185757869 22371515738 33557273607 67114547214