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73022471028 = 2235137277949
BaseRepresentation
bin100010000000001111…
…0100111101101110100
320222111001122212200000
41010000132213231310
52144022223033103
653313540551300
75163364522353
oct1040036475564
9228431585600
1073022471028
1128a72310311
121219b0b2530
136b69698c50
14376a1cb99a
151d75b42aa3
hex11007a7b74

73022471028 has 144 divisors (see below), whose sum is σ = 206455267200. Its totient is φ = 22434724224.

The previous prime is 73022471017. The next prime is 73022471051. The reversal of 73022471028 is 82017422037.

73022471028 is a `hidden beast` number, since 7 + 302 + 247 + 102 + 8 = 666.

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 = 73022470983 and 73022471001.

It is a congruent number.

It is an unprimeable number.

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, 9182398 + ... + 9190346.

Almost surely, 273022471028 is an apocalyptic number.

73022471028 is a gapful number since it is divisible by the number (78) 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 73022471028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103227633600).

73022471028 is an abundant number, since it is smaller than the sum of its proper divisors (133432796172).

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

73022471028 is a wasteful number, since it uses less digits than its factorization.

73022471028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8694 counting only the distinct ones).

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

The spelling of 73022471028 in words is "seventy-three billion, twenty-two million, four hundred seventy-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 727 972 1053 1404 1454 2106 2181 2908 3159 4212 4362 6318 6543 7949 8724 9451 12636 13086 15898 18902 19629 23847 26172 28353 31796 37804 39258 47694 56706 58887 71541 78516 85059 95388 103337 113412 117774 143082 170118 176661 206674 214623 235548 255177 286164 310011 340236 353322 413348 429246 510354 620022 643869 706644 765531 858492 930033 1020708 1240044 1287738 1531062 1860066 1931607 2296593 2575476 2790099 3062124 3720132 3863214 4593186 5580198 5778923 7726428 8370297 9186372 11160396 11557846 16740594 17336769 23115692 25110891 33481188 34673538 50221782 52010307 69347076 75125999 100443564 104020614 150251998 156030921 208041228 225377997 300503996 312061842 450755994 468092763 624123684 676133991 901511988 936185526 1352267982 1404278289 1872371052 2028401973 2704535964 2808556578 4056803946 5617113156 6085205919 8113607892 12170411838 18255617757 24340823676 36511235514 73022471028