Search a number
-
+
6770271820 = 2251328324133
BaseRepresentation
bin1100100111000101…
…00010011001001100
3122110211110102222011
412103202202121030
5102331142144240
63035450231004
7326526234544
oct62342423114
918424412864
106770271820
112964707474
12138b425464
1383b840600
1448323a324
1529958b6ea
hex1938a264c

6770271820 has 72 divisors (see below), whose sum is σ = 15581489616. Its totient is φ = 2469572352.

The previous prime is 6770271793. The next prime is 6770271847. The reversal of 6770271820 is 281720776.

It is an interprime number because it is at equal distance from previous prime (6770271793) and next prime (6770271847).

It is a super-2 number, since 2×67702718202 = 91673161033372224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268474 + ... + 292606.

It is an arithmetic number, because the mean of its divisors is an integer number (216409578).

Almost surely, 26770271820 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 6770271820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790744808).

6770271820 is an abundant number, since it is smaller than the sum of its proper divisors (8811217796).

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

6770271820 is a wasteful number, since it uses less digits than its factorization.

6770271820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24251 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 6770271820 is about 82281.6615048578. The cubic root of 6770271820 is about 1891.7716020200.

The spelling of 6770271820 in words is "six billion, seven hundred seventy million, two hundred seventy-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 169 260 332 338 415 676 830 845 1079 1660 1690 2158 3380 4316 5395 10790 14027 21580 24133 28054 48266 56108 70135 96532 120665 140270 241330 280540 313729 482660 627458 1254916 1568645 2003039 3137290 4006078 4078477 6274580 8012156 8156954 10015195 16313908 20030390 20392385 26039507 40060780 40784770 52079014 81569540 104158028 130197535 260395070 338513591 520790140 677027182 1354054364 1692567955 3385135910 6770271820