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872130348561 = 3234713715712503
BaseRepresentation
bin11001011000011110000…
…01010000011000010001
310002101010021010002200210
430230033001100120101
5103242110332123221
61504352352034333
7120003126435303
oct14541701203021
93071107102623
10872130348561
1130696093320a
121210368329a9
136431a8796b4
14302d5c87973
1517a45962276
hexcb0f050611

872130348561 has 64 divisors (see below), whose sum is σ = 1256312291328. Its totient is φ = 536850682368.

The previous prime is 872130348541. The next prime is 872130348599. The reversal of 872130348561 is 165843031278.

It is not a de Polignac number, because 872130348561 - 29 = 872130348049 is a prime.

It is a super-2 number, since 2×8721303485612 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872130348561.

It is not an unprimeable number, because it can be changed into a prime (872130348541) 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, 69747436 + ... + 69759938.

It is an arithmetic number, because the mean of its divisors is an integer number (19629879552).

Almost surely, 2872130348561 is an apocalyptic number.

It is an amenable number.

872130348561 is a deficient number, since it is larger than the sum of its proper divisors (384181942767).

872130348561 is a wasteful number, since it uses less digits than its factorization.

872130348561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 872130348561 in words is "eight hundred seventy-two billion, one hundred thirty million, three hundred forty-eight thousand, five hundred sixty-one".

Divisors: 1 3 23 47 69 137 141 157 411 471 1081 3151 3243 3611 6439 7379 9453 10833 12503 19317 21509 22137 37509 64527 148097 169717 287569 444291 494707 509151 587641 862707 1010923 1484121 1712911 1762923 1962971 3032769 5138733 5888913 13515743 23251229 39396953 40547229 45148333 69753687 80506817 92259637 118190859 135444999 241520451 268927027 276778911 806781081 1851656791 2121971651 5554970373 6185321621 6365914953 12639570269 18555964863 37918710807 290710116187 872130348561