Search a number
-
+
2176665048 = 233410731393
BaseRepresentation
bin1000000110111101…
…0100010111011000
312121200210001010000
42001233110113120
513424211240143
6555553253000
7104640230145
oct20157242730
95550701100
102176665048
11a17741738
12508b64160
13288c512ac
141691253cc
15cb15cbd3
hex81bd45d8

2176665048 has 80 divisors (see below), whose sum is σ = 6153851880. Its totient is φ = 718751232.

The previous prime is 2176665047. The next prime is 2176665083. The reversal of 2176665048 is 8405666712.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2176664994 and 2176665012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176665047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53640 + ... + 85032.

Almost surely, 22176665048 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 2176665048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076925940).

2176665048 is an abundant number, since it is smaller than the sum of its proper divisors (3977186832).

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

2176665048 is a wasteful number, since it uses less digits than its factorization.

2176665048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31518 (or 31505 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2176665048 is about 46654.7430386236. The cubic root of 2176665048 is about 1295.9767228330.

The spelling of 2176665048 in words is "two billion, one hundred seventy-six million, six hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1284 1926 2568 2889 3852 5778 7704 8667 11556 17334 23112 31393 34668 62786 69336 94179 125572 188358 251144 282537 376716 565074 753432 847611 1130148 1695222 2260296 2542833 3359051 3390444 5085666 6718102 6780888 10077153 10171332 13436204 20154306 20342664 26872408 30231459 40308612 60462918 80617224 90694377 120925836 181388754 241851672 272083131 362777508 544166262 725555016 1088332524 2176665048