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67326432140 = 225112343309433
BaseRepresentation
bin111110101100111101…
…111101001110001100
320102210002120010020202
4332230331331032030
52100341031312030
650532423033032
74602261142112
oct765475751614
9212702503222
1067326432140
112660a019a60
121106b59b778
13646c586c36
143389903ab2
151b40a4c745
hexfacf7d38c

67326432140 has 96 divisors (see below), whose sum is σ = 164688201216. Its totient is φ = 22873213440.

The previous prime is 67326432127. The next prime is 67326432157. The reversal of 67326432140 is 4123462376.

It is a junction number, because it is equal to n+sod(n) for n = 67326432094 and 67326432103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62864 + ... + 372296.

It is an arithmetic number, because the mean of its divisors is an integer number (1715502096).

Almost surely, 267326432140 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 67326432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82344100608).

67326432140 is an abundant number, since it is smaller than the sum of its proper divisors (97361769076).

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

67326432140 is a wasteful number, since it uses less digits than its factorization.

67326432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309519 (or 309517 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 67326432140 in words is "sixty-seven billion, three hundred twenty-six million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 43 44 46 55 86 92 110 115 172 215 220 230 253 430 460 473 506 860 946 989 1012 1265 1892 1978 2365 2530 3956 4730 4945 5060 9460 9890 10879 19780 21758 43516 54395 108790 217580 309433 618866 1237732 1547165 3094330 3403763 6188660 6807526 7116959 13305619 13615052 14233918 17018815 26611238 28467836 34037630 35584795 53222476 66528095 68075260 71169590 78286549 133056190 142339180 146361809 156573098 266112380 292723618 306029237 313146196 391432745 585447236 612058474 731809045 782865490 1224116948 1463618090 1530146185 1565730980 2927236180 3060292370 3366321607 6120584740 6732643214 13465286428 16831608035 33663216070 67326432140