Search a number
-
+
67421541996 = 223416310491217
BaseRepresentation
bin111110110010101000…
…110001011001101100
320110000201112012110000
4332302220301121230
52101034403320441
650550101344300
74604524436244
oct766250613154
9213021465400
1067421541996
1126658780446
1211097408090
1364861a7963
1433983c0b24
151b490882b6
hexfb2a3166c

67421541996 has 120 divisors (see below), whose sum is σ = 177649441200. Its totient is φ = 22296342528.

The previous prime is 67421541959. The next prime is 67421541997. The reversal of 67421541996 is 69914512476.

67421541996 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 1 + 541 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67421541997) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 55399180 + ... + 55400396.

It is an arithmetic number, because the mean of its divisors is an integer number (1480412010).

Almost surely, 267421541996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67421541996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88824720600).

67421541996 is an abundant number, since it is smaller than the sum of its proper divisors (110227899204).

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

67421541996 is a wasteful number, since it uses less digits than its factorization.

67421541996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2434 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 67421541996 in words is "sixty-seven billion, four hundred twenty-one million, five hundred forty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1049 1217 1467 1956 2098 2434 2934 3147 3651 4196 4401 4868 5868 6294 7302 8802 9441 10953 12588 13203 14604 17604 18882 21906 26406 28323 32859 37764 43812 52812 56646 65718 84969 98577 113292 131436 169938 170987 197154 198371 339876 341974 394308 396742 512961 595113 683948 793484 1025922 1190226 1276633 1538883 1785339 2051844 2380452 2553266 3077766 3570678 3829899 4616649 5106532 5356017 6155532 7141356 7659798 9233298 10712034 11489697 13849947 15319596 16068051 18466596 21424068 22979394 27699894 32136102 34469091 45958788 55399788 64272204 68938182 103407273 137876364 206814546 208091179 413629092 416182358 624273537 832364716 1248547074 1872820611 2497094148 3745641222 5618461833 7491282444 11236923666 16855385499 22473847332 33710770998 67421541996