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1001055606057 = 321321789136787
BaseRepresentation
bin11101001000100111001…
…00000101010100101001
310112200220021201202202200
432210103210011110221
5112400130213343212
62043513435450413
7132216043153503
oct16442344052451
93480807652680
101001055606057
113565aa8793a1
121420175b6a09
1373525ba4a00
143664670ad73
151b08e27d6dc
hexe913905529

1001055606057 has 36 divisors (see below), whose sum is σ = 1565883721584. Its totient is φ = 615983041440.

The previous prime is 1001055606053. The next prime is 1001055606139. The reversal of 1001055606057 is 7506065501001.

It is not a de Polignac number, because 1001055606057 - 22 = 1001055606053 is a prime.

It is a super-2 number, since 2×10010556060572 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001055606053) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27193818 + ... + 27230604.

It is an arithmetic number, because the mean of its divisors is an integer number (43496770044).

Almost surely, 21001055606057 is an apocalyptic number.

It is an amenable number.

1001055606057 is a deficient number, since it is larger than the sum of its proper divisors (564828115527).

1001055606057 is a wasteful number, since it uses less digits than its factorization.

1001055606057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54710 (or 54694 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 1001055606057 in words is "one trillion, one billion, fifty-five million, six hundred six thousand, fifty-seven".

Divisors: 1 3 9 13 39 117 169 507 1521 17891 36787 53673 110361 161019 232583 331083 478231 697749 1434693 2093247 3023579 4304079 6217003 9070737 18651009 27212211 55953027 658156217 1974468651 5923405953 8556030821 25668092463 77004277389 111228400673 333685202019 1001055606057