Search a number
-
+
1006644561164 = 2211401230924709
BaseRepresentation
bin11101010011000001011…
…00010000010100001100
310120020022210100002211222
432221200230100110030
5112443102001424124
62050240210302512
7132504406406324
oct16514054202414
93506283302758
101006644561164
11358a08680060
12143117287a38
1373c06a62b38
1436a16abc284
151b2b9c7025e
hexea60b1050c

1006644561164 has 48 divisors (see below), whose sum is σ = 1927480816800. Its totient is φ = 456208512000.

The previous prime is 1006644561161. The next prime is 1006644561173. The reversal of 1006644561164 is 4611654466001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1006644561161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40727642 + ... + 40752350.

It is an arithmetic number, because the mean of its divisors is an integer number (40155850350).

Almost surely, 21006644561164 is an apocalyptic number.

It is an amenable number.

1006644561164 is a deficient number, since it is larger than the sum of its proper divisors (920836255636).

1006644561164 is a wasteful number, since it uses less digits than its factorization.

1006644561164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27434 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 1006644561164 in words is "one trillion, six billion, six hundred forty-four million, five hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 401 802 1604 2309 4411 4618 8822 9236 17644 24709 25399 49418 50798 98836 101596 271799 543598 925909 1087196 1851818 3703636 9908309 10184999 19816618 20369998 39633236 40739996 57053081 108991399 114106162 217982798 228212324 435965596 627583891 1255167782 2510335564 22878285481 45756570962 91513141924 251661140291 503322280582 1006644561164