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6706039680 = 27335388081
BaseRepresentation
bin1100011111011011…
…00000101110000000
3122022100121010001000
412033231200232000
5102213221232210
63025233412000
7325116253044
oct61755405600
918270533030
106706039680
11293142595a
121371a0a000
1382b441222
144788ba024
15293aeeac0
hex18fb60b80

6706039680 has 128 divisors (see below), whose sum is σ = 23750618400. Its totient is φ = 1788272640.

The previous prime is 6706039679. The next prime is 6706039687. The reversal of 6706039680 is 869306076.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706039687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176761 + ... + 211320.

Almost surely, 26706039680 is an apocalyptic number.

6706039680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6706039680 is an abundant number, since it is smaller than the sum of its proper divisors (17044578720).

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

6706039680 is a wasteful number, since it uses less digits than its factorization.

6706039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388109 (or 388091 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6706039680 is about 81890.4126256548. The cubic root of 6706039680 is about 1885.7699298810.

The spelling of 6706039680 in words is "six billion, seven hundred six million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 388081 776162 1164243 1552324 1940405 2328486 3104648 3492729 3880810 4656972 5821215 6209296 6985458 7761620 9313944 10478187 11642430 12418592 13970916 15523240 17463645 18627888 20956374 23284860 24837184 27941832 31046480 34927290 37255776 41912748 46569720 49674368 52390935 55883664 62092960 69854580 74511552 83825496 93139440 104781870 111767328 124185920 139709160 149023104 167650992 186278880 209563740 223534656 248371840 279418320 335301984 372557760 419127480 447069312 558836640 670603968 745115520 838254960 1117673280 1341207936 1676509920 2235346560 3353019840 6706039680