Search a number
-
+
67083616225780 = 225711109399640273
BaseRepresentation
bin11110100000011000111110…
…00111011000100111110100
322210112010112120000212112121
433100030133013120213310
532243044221223211110
6354401442101525324
720062426355411560
oct1720143707304764
9283463476025477
1067083616225780
111a414002547480
127635307413844
132b57c5b58029b
14127cc15abc6a0
157b4eeae89cda
hex3d031f1d89f4

67083616225780 has 96 divisors (see below), whose sum is σ = 177248454324480. Its totient is φ = 20717351700480.

The previous prime is 67083616225777. The next prime is 67083616225789. The reversal of 67083616225780 is 8752261638076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67083616225789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199652277 + ... + 199987996.

It is an arithmetic number, because the mean of its divisors is an integer number (1846338065880).

Almost surely, 267083616225780 is an apocalyptic number.

It is an amenable number.

67083616225780 is an abundant number, since it is smaller than the sum of its proper divisors (110164838098700).

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

67083616225780 is a wasteful number, since it uses less digits than its factorization.

67083616225780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399640409 (or 399640407 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 67083616225780 in words is "sixty-seven trillion, eighty-three billion, six hundred sixteen million, two hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 763 770 1090 1199 1526 1540 2180 2398 3052 3815 4796 5995 7630 8393 11990 15260 16786 23980 33572 41965 83930 167860 399640273 799280546 1598561092 1998201365 2797481911 3996402730 4396043003 5594963822 7992805460 8792086006 11189927644 13987409555 17584172012 21980215015 27974819110 30772301021 43560789757 43960430030 55949638220 61544602042 87121579514 87920860060 123089204084 153861505105 174243159028 217803948785 304925528299 307723010210 435607897570 479168687327 609851056598 615446020420 871215795140 958337374654 1219702113196 1524627641495 1916674749308 2395843436635 3049255282990 3354180811289 4791686873270 6098510565980 6708361622578 9583373746540 13416723245156 16770904056445 33541808112890 67083616225780