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66127546744 = 23723239214817
BaseRepresentation
bin111101100101100000…
…100100100101111000
320022200112122102122221
4331211200210211320
52040412122443434
650213434453424
74530462605320
oct754540444570
9208615572587
1066127546744
1126054304686
1210995b94274
13630b092bac
1432b45c4280
151ac06822b4
hexf65824978

66127546744 has 64 divisors (see below), whose sum is σ = 148482201600. Its totient is φ = 26994637824.

The previous prime is 66127546729. The next prime is 66127546783. The reversal of 66127546744 is 44764572166.

It is a junction number, because it is equal to n+sod(n) for n = 66127546691 and 66127546700.

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 15 ways as a sum of consecutive naturals, for example, 200424 + ... + 415240.

It is an arithmetic number, because the mean of its divisors is an integer number (2320034400).

Almost surely, 266127546744 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 66127546744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74241100800).

66127546744 is an abundant number, since it is smaller than the sum of its proper divisors (82354654856).

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

66127546744 is a wasteful number, since it uses less digits than its factorization.

66127546744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215092 (or 215088 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 52.

The spelling of 66127546744 in words is "sixty-six billion, one hundred twenty-seven million, five hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 239 322 478 644 956 1288 1673 1912 3346 5497 6692 10994 13384 21988 38479 43976 76958 153916 214817 307832 429634 859268 1503719 1718536 3007438 4940791 6014876 9881582 12029752 19763164 34585537 39526328 51341263 69171074 102682526 138342148 205365052 276684296 359388841 410730104 718777682 1180849049 1437555364 2361698098 2875110728 4723396196 8265943343 9446792392 16531886686 33063773372 66127546744