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66170755441 = 71923711991531
BaseRepresentation
bin111101101000000101…
…011001100101110001
320022210112221122212001
4331220011121211301
52041004203133231
650222020534001
74531526066230
oct755005314561
9208715848761
1066170755441
1126076736a4a
12109a8551301
13631701107b
1432ba230b17
151ac4369b61
hexf68159971

66170755441 has 64 divisors (see below), whose sum is σ = 84713472000. Its totient is φ = 50384980800.

The previous prime is 66170755439. The next prime is 66170755451. The reversal of 66170755441 is 14455707166.

66170755441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66170755441 - 21 = 66170755439 is a prime.

It is a super-2 number, since 2×661707554412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66170755391 and 66170755400.

It is not an unprimeable number, because it can be changed into a prime (66170755451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43219846 + ... + 43221376.

It is an arithmetic number, because the mean of its divisors is an integer number (1323648000).

Almost surely, 266170755441 is an apocalyptic number.

It is an amenable number.

66170755441 is a deficient number, since it is larger than the sum of its proper divisors (18542716559).

66170755441 is a wasteful number, since it uses less digits than its factorization.

66170755441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 66170755441 in words is "sixty-six billion, one hundred seventy million, seven hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 7 19 23 71 133 161 199 437 497 1349 1393 1531 1633 3059 3781 4577 9443 10717 11431 14129 26467 29089 31027 32039 35213 86963 98903 108701 203623 217189 246491 268451 304669 324967 608741 669047 760907 1879157 2065319 2132683 2274769 2500123 4683329 5788711 6174373 7007387 14457233 17500861 21631499 40520977 43220611 47502337 49051709 133140353 151420493 332516359 410998481 497524477 931982471 2876989367 3482671339 9452965063 66170755441