Search a number
-
+
87035450022 = 23331354114683
BaseRepresentation
bin101000100001110110…
…1111001001010100110
322022122122112222002000
41101003231321022212
52411222033400042
6103552235430130
76200551055463
oct1210355711246
9268578488060
1087035450022
1133a03273894
1214a4bbb5346
1382908a05b1
1442d92c266a
1523e5e8b74c
hex1443b792a6

87035450022 has 64 divisors (see below), whose sum is σ = 199721195520. Its totient is φ = 28066111200.

The previous prime is 87035450017. The next prime is 87035450087. The reversal of 87035450022 is 22005453078.

87035450022 is a `hidden beast` number, since 87 + 0 + 3 + 54 + 500 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920293 + ... + 5934975.

It is an arithmetic number, because the mean of its divisors is an integer number (3120643680).

Almost surely, 287035450022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87035450022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99860597760).

87035450022 is an abundant number, since it is smaller than the sum of its proper divisors (112685745498).

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

87035450022 is a wasteful number, since it uses less digits than its factorization.

87035450022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18266 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 87035450022 in words is "eighty-seven billion, thirty-five million, four hundred fifty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3541 7082 10623 14683 21246 29366 31869 44049 63738 88098 95607 109771 132147 191214 219542 264294 329313 396441 455173 658626 792882 910346 987939 1365519 1975878 2731038 2963817 4096557 5927634 8193114 12289671 24579342 51992503 103985006 155977509 311955018 467932527 935865054 1403797581 1611767593 2807595162 3223535186 4835302779 9670605558 14505908337 29011816674 43517725011 87035450022