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67873541092 = 2273437914563
BaseRepresentation
bin111111001101100101…
…000000101111100100
320111012020001010122021
4333031211000233210
52103001111303332
651103005312524
74621653403000
oct771545005744
9214166033567
1067873541092
112686a932015
12111a2865744
136528a24546
1433dc43d700
151b73abdc97
hexfcd940be4

67873541092 has 96 divisors (see below), whose sum is σ = 143542784000. Its totient is φ = 28050605856.

The previous prime is 67873541083. The next prime is 67873541107. The reversal of 67873541092 is 29014537876.

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 31 ways as a sum of consecutive naturals, for example, 4653403 + ... + 4667965.

It is a 1-persistent number, because it is pandigital, but 2⋅67873541092 = 135747082184 is not.

Almost surely, 267873541092 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 67873541092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71771392000).

67873541092 is an abundant number, since it is smaller than the sum of its proper divisors (75669242908).

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

67873541092 is a wasteful number, since it uses less digits than its factorization.

67873541092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14710 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 67873541092 in words is "sixty-seven billion, eight hundred seventy-three million, five hundred forty-one thousand, ninety-two".

Divisors: 1 2 4 7 14 28 43 49 79 86 98 158 172 196 301 316 343 553 602 686 1106 1204 1372 2107 2212 3397 3871 4214 6794 7742 8428 13588 14563 14749 15484 23779 27097 29126 29498 47558 54194 58252 58996 95116 101941 108388 166453 203882 332906 407764 626209 665812 713587 1150477 1165171 1252418 1427174 2300954 2330342 2504836 2854348 4383463 4601908 4660684 4995109 8053339 8766926 9990218 16106678 17533852 19980436 30684241 32213356 49470511 56373373 61368482 98941022 112746746 122736964 197882044 214789687 225493492 346293577 394613611 429579374 692587154 789227222 859158748 1385174308 1578454444 2424055039 4848110078 9696220156 16968385273 33936770546 67873541092