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67272012144 = 24324153214987
BaseRepresentation
bin111110101001101110…
…010111000101110000
320102122022011022001100
4332221232113011300
52100233113342034
650523200404400
74601030445201
oct765156270560
9212568138040
1067272012144
112659132a457
1211055316700
136461211a5c
1433825b95a8
151b3ad9d099
hexfa9b97170

67272012144 has 120 divisors (see below), whose sum is σ = 196499891952. Its totient is φ = 21464202240.

The previous prime is 67272012127. The next prime is 67272012151. The reversal of 67272012144 is 44121027276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67272012099 and 67272012108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205419 + ... + 420405.

Almost surely, 267272012144 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 67272012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249945976).

67272012144 is an abundant number, since it is smaller than the sum of its proper divisors (129227879808).

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

67272012144 is a wasteful number, since it uses less digits than its factorization.

67272012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215095 (or 215086 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 67272012144 in words is "sixty-seven billion, two hundred seventy-two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 53 72 82 106 123 144 159 164 212 246 318 328 369 424 477 492 636 656 738 848 954 984 1272 1476 1908 1968 2173 2544 2952 3816 4346 5904 6519 7632 8692 13038 17384 19557 26076 34768 39114 52152 78228 104304 156456 214987 312912 429974 644961 859948 1289922 1719896 1934883 2579844 3439792 3869766 5159688 7739532 8814467 10319376 11394311 15479064 17628934 22788622 26443401 30958128 34182933 35257868 45577244 52886802 68365866 70515736 79330203 91154488 102548799 105773604 136731732 141031472 158660406 182308976 205097598 211547208 273463464 317320812 410195196 423094416 467166751 546926928 634641624 820390392 934333502 1269283248 1401500253 1640780784 1868667004 2803000506 3737334008 4204500759 5606001012 7474668016 8409001518 11212002024 16818003036 22424004048 33636006072 67272012144