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67323074048 = 292329197137
BaseRepresentation
bin111110101100110001…
…001001011000000000
320102202212020111210222
4332230301021120000
52100334201332143
650532223042212
74602220454546
oct765461113000
9212685214728
1067323074048
1126608135a7a
121106a440368
13646b97c5b9
1433892abd96
151b405d7768
hexfacc49600

67323074048 has 80 divisors (see below), whose sum is σ = 145203965280. Its totient is φ = 31087558656.

The previous prime is 67323074033. The next prime is 67323074051. The reversal of 67323074048 is 84047032376.

It is a super-5 number, since 5×673230740485 (a number of 55 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242936 + ... + 440072.

It is an arithmetic number, because the mean of its divisors is an integer number (1815049566).

Almost surely, 267323074048 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 67323074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601982640).

67323074048 is an abundant number, since it is smaller than the sum of its proper divisors (77880891232).

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

67323074048 is a wasteful number, since it uses less digits than its factorization.

67323074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197207 (or 197191 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 67323074048 in words is "sixty-seven billion, three hundred twenty-three million, seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 512 667 736 928 1334 1472 1856 2668 2944 3712 5336 5888 7424 10672 11776 14848 21344 42688 85376 170752 197137 341504 394274 788548 1577096 3154192 4534151 5716973 6308384 9068302 11433946 12616768 18136604 22867892 25233536 36273208 45735784 50467072 72546416 91471568 100934144 131490379 145092832 182943136 262980758 290185664 365886272 525961516 580371328 731772544 1051923032 1160742656 1463545088 2103846064 2321485312 2927090176 4207692128 8415384256 16830768512 33661537024 67323074048