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68188413636 = 22327419661977
BaseRepresentation
bin111111100000010110…
…001001111011000100
320112000011112022120100
4333200112021323010
52104122213214021
651154134204100
74632525644520
oct774026117304
9215004468510
1068188413636
1126a11644462
12112701b3630
13657902b965
14342c1a4d80
151b91569626
hexfe0589ec4

68188413636 has 144 divisors (see below), whose sum is σ = 197960031360. Its totient is φ = 19386639360.

The previous prime is 68188413619. The next prime is 68188413637. The reversal of 68188413636 is 63631488186.

68188413636 is a `hidden beast` number, since 68 + 188 + 41 + 363 + 6 = 666.

68188413636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (68188413637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69793180 + ... + 69794156.

It is an arithmetic number, because the mean of its divisors is an integer number (1374722440).

Almost surely, 268188413636 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 68188413636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98980015680).

68188413636 is an abundant number, since it is smaller than the sum of its proper divisors (129771617724).

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

68188413636 is a wasteful number, since it uses less digits than its factorization.

68188413636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2069 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 68188413636 in words is "sixty-eight billion, one hundred eighty-eight million, four hundred thirteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 661 838 977 1257 1322 1676 1954 1983 2514 2644 2931 2933 3771 3908 3966 4627 5028 5862 5866 5949 6839 7542 7932 8793 8799 9254 11724 11732 11898 13678 13881 15084 17586 17598 18508 20517 23796 26397 27356 27762 35172 35196 41034 41643 52794 55524 61551 82068 83286 105588 123102 166572 246204 276959 409363 553918 645797 818726 830877 1107836 1228089 1291594 1637452 1661754 1937391 1938713 2456178 2492631 2583188 2865541 3323508 3684267 3874782 3877426 4520579 4912356 4985262 5731082 5812173 5816139 7368534 7749564 7754852 8596623 9041158 9970524 11462164 11624346 11632278 13561737 14737068 17193246 17448417 18082316 23248692 23264556 25789869 27123474 34386492 34896834 40685211 51579738 54246948 69793668 81370422 103159476 162740844 270588943 541177886 811766829 1082355772 1623533658 1894122601 2435300487 3247067316 3788245202 4870600974 5682367803 7576490404 9741201948 11364735606 17047103409 22729471212 34094206818 68188413636