Search a number
-
+
67041908872020 = 2232519172111390411
BaseRepresentation
bin11110011111001011010010…
…01010011101001101010100
322210101010212220021202222200
433033211221022131031110
532241403312132401040
6354330343332324500
720056421666640165
oct1717455112351524
9283333786252880
1067041908872020
111a3a834a863275
127629207773730
132b54042878234
14127abba87376c
157b3da964a630
hex3cf96929d354

67041908872020 has 144 divisors (see below), whose sum is σ = 214188040946880. Its totient is φ = 16927060492800.

The previous prime is 67041908872007. The next prime is 67041908872031. The reversal of 67041908872020 is 2027880914076.

It is a happy number.

67041908872020 is a `hidden beast` number, since 67 + 0 + 419 + 0 + 88 + 72 + 0 + 20 = 666.

67041908872020 is digitally balanced in base 5, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190615 + ... + 11581025.

It is an arithmetic number, because the mean of its divisors is an integer number (1487416951020).

Almost surely, 267041908872020 is an apocalyptic number.

67041908872020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67041908872020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107094020473440).

67041908872020 is an abundant number, since it is smaller than the sum of its proper divisors (147146132074860).

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

67041908872020 is a wasteful number, since it uses less digits than its factorization.

67041908872020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392166 (or 11392161 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 67041908872020 in words is "sixty-seven trillion, forty-one billion, nine hundred eight million, eight hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 1721 3420 3442 5163 6884 8605 10326 15489 17210 20652 25815 30978 32699 34420 51630 61956 65398 77445 98097 103260 130796 154890 163495 196194 294291 309780 326990 392388 490485 588582 653980 980970 1177164 1471455 1961940 2942910 5885820 11390411 22780822 34171233 45561644 56952055 68342466 102513699 113904110 136684932 170856165 205027398 216417809 227808220 341712330 410054796 432835618 512568495 649253427 683424660 865671236 1025136990 1082089045 1298506854 1947760281 2050273980 2164178090 2597013708 3246267135 3895520562 4328356180 6492534270 7791041124 9738801405 12985068540 19477602810 19602897331 38955205620 39205794662 58808691993 78411589324 98014486655 117617383986 176426075979 196028973310 235234767972 294043459965 352852151958 372455049289 392057946620 588086919930 705704303916 744910098578 882130379895 1117365147867 1176173839860 1489820197156 1764260759790 1862275246445 2234730295734 3352095443601 3528521519580 3724550492890 4469460591468 5586825739335 6704190887202 7449100985780 11173651478670 13408381774404 16760477218005 22347302957340 33520954436010 67041908872020