Search a number
-
+
6777013080 = 2335835231301
BaseRepresentation
bin1100100111111000…
…10000001101011000
3122111022010221020110
412103330100031120
5102334403404310
63040250524320
7326640442425
oct62374201530
918438127213
106777013080
1129684a1262
1213917366a0
13840060b16
144840b2d4c
15299e6dd20
hex193f10358

6777013080 has 128 divisors (see below), whose sum is σ = 20631179520. Its totient is φ = 1780646400.

The previous prime is 6777013057. The next prime is 6777013141. The reversal of 6777013080 is 803107776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5208430 + ... + 5209730.

It is an arithmetic number, because the mean of its divisors is an integer number (161181090).

Almost surely, 26777013080 is an apocalyptic number.

6777013080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777013080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315589760).

6777013080 is an abundant number, since it is smaller than the sum of its proper divisors (13854166440).

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

6777013080 is a wasteful number, since it uses less digits than its factorization.

6777013080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 6777013080 is about 82322.6158476515. The cubic root of 6777013080 is about 1892.3992820773.

The spelling of 6777013080 in words is "six billion, seven hundred seventy-seven million, thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 523 664 830 996 1046 1245 1301 1569 1660 1992 2092 2490 2602 2615 3138 3320 3903 4184 4980 5204 5230 6276 6505 7806 7845 9960 10408 10460 12552 13010 15612 15690 19515 20920 26020 31224 31380 39030 43409 52040 62760 78060 86818 107983 130227 156120 173636 215966 217045 260454 323949 347272 431932 434090 520908 539915 647898 651135 680423 863864 868180 1041816 1079830 1295796 1302270 1360846 1619745 1736360 2041269 2159660 2591592 2604540 2721692 3239490 3402115 4082538 4319320 5209080 5443384 6478980 6804230 8165076 10206345 12957960 13608460 16330152 20412690 27216920 40825380 56475109 81650760 112950218 169425327 225900436 282375545 338850654 451800872 564751090 677701308 847126635 1129502180 1355402616 1694253270 2259004360 3388506540 6777013080