Search a number
-
+
166036632512 = 2617211372223
BaseRepresentation
bin1001101010100010001…
…1011111001111000000
3120212120101012212000212
42122220203133033000
510210020334220022
6204135353133252
714665354042622
oct2325043371700
9525511185025
10166036632512
1164463394553
12282193ba228
1312870ac051a
14807153ac12
1544bb90e3e2
hex26a88df3c0

166036632512 has 56 divisors (see below), whose sum is σ = 349029991296. Its totient is φ = 78096826368.

The previous prime is 166036632511. The next prime is 166036632547. The reversal of 166036632512 is 215236630661.

It is a self number, because there is not a number n which added to its sum of digits gives 166036632512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166036632511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2262833 + ... + 2335055.

It is an arithmetic number, because the mean of its divisors is an integer number (6232678416).

Almost surely, 2166036632512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166036632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174514995648).

166036632512 is an abundant number, since it is smaller than the sum of its proper divisors (182993358784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166036632512 is a wasteful number, since it uses less digits than its factorization.

166036632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74365 (or 74355 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 166036632512 in words is "one hundred sixty-six billion, thirty-six million, six hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2113 4226 8452 16904 33808 35921 67616 71842 72223 135232 143684 144446 287368 288892 574736 577784 1149472 1155568 1227791 2298944 2311136 2455582 4622272 4911164 9822328 19644656 39289312 78578624 152607199 305214398 610428796 1220857592 2441715184 2594322383 4883430368 5188644766 9766860736 10377289532 20754579064 41509158128 83018316256 166036632512