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36426345444 = 22321926145949
BaseRepresentation
bin100001111011001011…
…011110101111100100
310111000121121002001100
4201323023132233210
51044100121023234
624422315000100
72426451553566
oct417313365744
9114017532040
1036426345444
11144a27a4525
127087139030
133586897b78
141a97b19336
15e32dcb399
hex87b2debe4

36426345444 has 108 divisors (see below), whose sum is σ = 98774211900. Its totient is φ = 11314235520.

The previous prime is 36426345401. The next prime is 36426345457. The reversal of 36426345444 is 44454362463.

36426345444 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 634 + 5 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14191956900 + 22234388544 = 119130^2 + 149112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36426345444.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 769782 + ... + 815730.

Almost surely, 236426345444 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 36426345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49387105950).

36426345444 is an abundant number, since it is smaller than the sum of its proper divisors (62347866456).

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

36426345444 is a wasteful number, since it uses less digits than its factorization.

36426345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46058 (or 46034 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 36426345444 in words is "thirty-six billion, four hundred twenty-six million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 361 366 549 684 722 732 1083 1098 1159 1444 2166 2196 2318 3249 3477 4332 4636 6498 6954 10431 12996 13908 20862 22021 41724 44042 45949 66063 88084 91898 132126 137847 183796 198189 264252 275694 396378 413541 551388 792756 827082 873031 1654164 1746062 2619093 2802889 3492124 5238186 5605778 7857279 8408667 10476372 11211556 15714558 16587589 16817334 25226001 31429116 33175178 33634668 49762767 50452002 53254891 66350356 99525534 100904004 106509782 149288301 159764673 199051068 213019564 298576602 319529346 479294019 597153204 639058692 958588038 1011842929 1917176076 2023685858 3035528787 4047371716 6071057574 9106586361 12142115148 18213172722 36426345444