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92686461312 = 2732312782633
BaseRepresentation
bin101011001010010001…
…0110010100110000000
322212020110221002020110
41112110202302212000
53004310213230222
6110325104311320
76460566631164
oct1262442624600
9285213832213
1092686461312
1136343100255
1215b68612540
138981578563
1446b3a08ca4
15262713a30c
hex15948b2980

92686461312 has 128 divisors (see below), whose sum is σ = 258928680960. Its totient is φ = 29319155712.

The previous prime is 92686461271. The next prime is 92686461331. The reversal of 92686461312 is 21316468629.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×926864613122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080348 + ... + 1162980.

It is an arithmetic number, because the mean of its divisors is an integer number (2022880320).

Almost surely, 292686461312 is an apocalyptic number.

92686461312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92686461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129464340480).

92686461312 is an abundant number, since it is smaller than the sum of its proper divisors (166242219648).

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

92686461312 is a wasteful number, since it uses less digits than its factorization.

92686461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82800 (or 82788 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 92686461312 in words is "ninety-two billion, six hundred eighty-six million, four hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 127 128 138 184 192 254 276 368 381 384 508 552 736 762 1016 1104 1472 1524 2032 2208 2921 2944 3048 4064 4416 5842 6096 8128 8763 8832 11684 12192 16256 17526 23368 24384 35052 46736 48768 70104 82633 93472 140208 165266 186944 247899 280416 330532 373888 495798 560832 661064 991596 1121664 1322128 1900559 1983192 2644256 3801118 3966384 5288512 5701677 7602236 7932768 10494391 10577024 11403354 15204472 15865536 20988782 22806708 30408944 31483173 31731072 41977564 45613416 60817888 62966346 83955128 91226832 121635776 125932692 167910256 182453664 241370993 243271552 251865384 335820512 364907328 482741986 503730768 671641024 724112979 729814656 965483972 1007461536 1343282048 1448225958 1930967944 2014923072 2896451916 3861935888 4029846144 5792903832 7723871776 11585807664 15447743552 23171615328 30895487104 46343230656 92686461312