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67946461320 = 23352699209789
BaseRepresentation
bin111111010001111011…
…001011100010001000
320111101022020212101110
4333101323023202020
52103123243230240
651114132250320
74623530251263
oct772173134210
9214338225343
1067946461320
11268a8008071
12112031709a0
13653ab762ca
143407dc1cda
151b7a1c4c80
hexfd1ecb888

67946461320 has 64 divisors (see below), whose sum is σ = 203915880000. Its totient is φ = 18112256768.

The previous prime is 67946461291. The next prime is 67946461327. The reversal of 67946461320 is 2316464976.

It is a super-2 number, since 2×679464613202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67946461320.

It is not an unprimeable number, because it can be changed into a prime (67946461327) 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 15 ways as a sum of consecutive naturals, for example, 218986 + ... + 428774.

It is an arithmetic number, because the mean of its divisors is an integer number (3186185625).

Almost surely, 267946461320 is an apocalyptic number.

67946461320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67946461320 is an abundant number, since it is smaller than the sum of its proper divisors (135969418680).

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

67946461320 is a wasteful number, since it uses less digits than its factorization.

67946461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212502 (or 212498 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 67946461320 in words is "sixty-seven billion, nine hundred forty-six million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2699 5398 8097 10796 13495 16194 21592 26990 32388 40485 53980 64776 80970 107960 161940 209789 323880 419578 629367 839156 1048945 1258734 1678312 2097890 2517468 3146835 4195780 5034936 6293670 8391560 12587340 25174680 566220511 1132441022 1698661533 2264882044 2831102555 3397323066 4529764088 5662205110 6794646132 8493307665 11324410220 13589292264 16986615330 22648820440 33973230660 67946461320