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67385541832 = 23743229122201
BaseRepresentation
bin111110110000011111…
…011100010011001000
320102221012210012111121
4332300133130103020
52101001144314312
650542334005024
74603606440430
oct766037342310
9212835705447
1067385541832
112663a421a44
1211087346774
13647b8b189b
1433936cd2c0
151b45d26707
hexfb07dc4c8

67385541832 has 64 divisors (see below), whose sum is σ = 148402108800. Its totient is φ = 28084492800.

The previous prime is 67385541829. The next prime is 67385541863. The reversal of 67385541832 is 23814558376.

It is a happy number.

It is a super-2 number, since 2×673855418322 (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 67385541832.

It is an unprimeable number.

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, 490332 + ... + 612532.

It is an arithmetic number, because the mean of its divisors is an integer number (2318782950).

Almost surely, 267385541832 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 67385541832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74201054400).

67385541832 is an abundant number, since it is smaller than the sum of its proper divisors (81016566968).

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

67385541832 is a wasteful number, since it uses less digits than its factorization.

67385541832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122486 (or 122482 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 67385541832 in words is "sixty-seven billion, three hundred eighty-five million, five hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 229 301 344 458 602 916 1204 1603 1832 2408 3206 6412 9847 12824 19694 39388 68929 78776 122201 137858 244402 275716 488804 551432 855407 977608 1710814 3421628 5254643 6843256 10509286 21018572 27984029 36782501 42037144 55968058 73565002 111936116 147130004 195888203 223872232 294260008 391776406 783552812 1203313247 1567105624 2406626494 4813252988 8423192729 9626505976 16846385458 33692770916 67385541832