Search a number
-
+
1327106624291 = 72417919942019
BaseRepresentation
bin10011010011111101101…
…110000000101100100011
311200212111100020122021222
4103103331232000230203
5133220403243434131
62453355300405255
7164610640116500
oct23237556005443
94625440218258
101327106624291
11471906101228
121952513a682b
13981b7bca9b6
14483376244a7
15247c3a1c87b
hex134fdb80b23

1327106624291 has 48 divisors (see below), whose sum is σ = 1609534080000. Its totient is φ = 1090195666560.

The previous prime is 1327106624287. The next prime is 1327106624321. The reversal of 1327106624291 is 1924266017231.

It is not a de Polignac number, because 1327106624291 - 22 = 1327106624287 is a prime.

It is a super-2 number, since 2×13271066242912 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327106624201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31562480 + ... + 31604498.

It is an arithmetic number, because the mean of its divisors is an integer number (33531960000).

Almost surely, 21327106624291 is an apocalyptic number.

1327106624291 is a deficient number, since it is larger than the sum of its proper divisors (282427455709).

1327106624291 is a wasteful number, since it uses less digits than its factorization.

1327106624291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42352 (or 42345 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 1327106624291 in words is "one trillion, three hundred twenty-seven billion, one hundred six million, six hundred twenty-four thousand, two hundred ninety-one".

Divisors: 1 7 41 49 79 199 287 553 1393 2009 3239 3871 8159 9751 15721 22673 42019 57113 110047 158711 294133 399791 644561 770329 1722779 2058931 3319501 4511927 8361781 12059453 23236507 31583489 58532467 84416171 136099541 162655549 342833021 409727269 660580699 952696787 2399831147 4624064893 6668877509 16798818029 27083808659 32368454251 189586660613 1327106624291