Search a number
-
+
105066655148 = 227213157262643
BaseRepresentation
bin110000111011001110…
…1011110110110101100
3101001012021110002111002
41201312131132312230
53210134030431043
6120133355015432
710406435555600
oct1416635366654
9331167402432
10105066655148
114061642a104
121844273a578
139ba5408540
145129d13500
152aede5abb8
hex187675edac

105066655148 has 72 divisors (see below), whose sum is σ = 231806442672. Its totient is φ = 41299929216.

The previous prime is 105066655147. The next prime is 105066655249. The reversal of 105066655148 is 841556660501.

It is a super-2 number, since 2×1050666551482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066655147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268715 + ... + 531357.

It is an arithmetic number, because the mean of its divisors is an integer number (3219533926).

Almost surely, 2105066655148 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 105066655148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115903221336).

105066655148 is an abundant number, since it is smaller than the sum of its proper divisors (126739787524).

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

105066655148 is a wasteful number, since it uses less digits than its factorization.

105066655148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262831 (or 262822 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 105066655148 in words is "one hundred five billion, sixty-six million, six hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 157 182 196 314 364 628 637 1099 1274 2041 2198 2548 4082 4396 7693 8164 14287 15386 28574 30772 57148 100009 200018 262643 400036 525286 1050572 1838501 3414359 3677002 6828718 7354004 12869507 13657436 23900513 25739014 41234951 47801026 51478028 82469902 95602052 164939804 167303591 288644657 334607182 536054363 577289314 669214364 1072108726 1154578628 2020512599 2144217452 3752380541 4041025198 7504761082 8082050396 15009522164 26266663787 52533327574 105066655148