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8207137919064 = 2337348431402061
BaseRepresentation
bin111011101101101111110…
…0010100101000001011000
31002001121001112220221112110
41313123133202211001120
52033431204301402224
625242150200312320
71504642346165010
oct167333742450130
932047045827473
108207137919064
11268469a4396a7
12b06721a726a0
13476c11978386
1420532873cc40
15e3746d98929
hex776df8a5058

8207137919064 has 64 divisors (see below), whose sum is σ = 23449655197440. Its totient is φ = 2344827576960.

The previous prime is 8207137919053. The next prime is 8207137919081. The reversal of 8207137919064 is 4609197317028.

It is a happy number.

It is a super-2 number, since 2×82071379190642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8207137918995 and 8207137919013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152594 + ... + 6554654.

It is an arithmetic number, because the mean of its divisors is an integer number (366400862460).

Almost surely, 28207137919064 is an apocalyptic number.

8207137919064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8207137919064 is an abundant number, since it is smaller than the sum of its proper divisors (15242517278376).

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

8207137919064 is a wasteful number, since it uses less digits than its factorization.

8207137919064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436920 (or 1436916 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 8207137919064 in words is "eight trillion, two hundred seven billion, one hundred thirty-seven million, nine hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 34843 69686 104529 139372 209058 243901 278744 418116 487802 731703 836232 975604 1402061 1463406 1951208 2804122 2926812 4206183 5608244 5853624 8412366 9814427 11216488 16824732 19628854 29443281 33649464 39257708 58886562 78515416 117773124 235546248 48852011423 97704022846 146556034269 195408045692 293112068538 341964079961 390816091384 586224137076 683928159922 1025892239883 1172448274152 1367856319844 2051784479766 2735712639688 4103568959532 8207137919064