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71428381020 = 223254352117713
BaseRepresentation
bin100001010000101110…
…1101001100101011100
320211100222002201021100
41002201131221211130
52132241131143040
652451434033100
75106030135543
oct1024135514534
9224328081240
1071428381020
1128324505957
1211a15278790
136974352219
1436585d515a
151cd0c0eb30
hex10a176995c

71428381020 has 144 divisors (see below), whose sum is σ = 222142912992. Its totient is φ = 18567843840.

The previous prime is 71428381001. The next prime is 71428381021. The reversal of 71428381020 is 2018382417.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71428381021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023684 + ... + 4041396.

It is an arithmetic number, because the mean of its divisors is an integer number (1542659118).

Almost surely, 271428381020 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 71428381020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111071456496).

71428381020 is an abundant number, since it is smaller than the sum of its proper divisors (150714531972).

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

71428381020 is a wasteful number, since it uses less digits than its factorization.

71428381020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18292 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 71428381020 in words is "seventy-one billion, four hundred twenty-eight million, three hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 521 645 774 860 1042 1290 1548 1563 1935 2084 2580 2605 3126 3870 4689 5210 6252 7740 7815 9378 10420 15630 17713 18756 22403 23445 31260 35426 44806 46890 53139 67209 70852 88565 89612 93780 106278 112015 134418 159417 177130 201627 212556 224030 265695 268836 318834 336045 354260 403254 448060 531390 637668 672090 761659 797085 806508 1008135 1062780 1344180 1523318 1594170 2016270 2284977 3046636 3188340 3808295 4032540 4569954 6854931 7616590 9139908 9228473 11424885 13709862 15233180 18456946 22849770 27419724 27685419 34274655 36913892 45699540 46142365 55370838 68549310 83056257 92284730 110741676 137098620 138427095 166112514 184569460 276854190 332225028 396824339 415281285 553708380 793648678 830562570 1190473017 1587297356 1661125140 1984121695 2380946034 3571419051 3968243390 4761892068 5952365085 7142838102 7936486780 11904730170 14285676204 17857095255 23809460340 35714190510 71428381020