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6978837060 = 223251311326393
BaseRepresentation
bin1100111111111100…
…01001101001000100
3200000100220122200200
412133332021221010
5103243040241220
63112300410500
7334641064506
oct63776115104
920010818620
106978837060
112a6140a638
121429246a30
13872b063b0
144a2c0bd76
152aca38890
hex19ff89a44

6978837060 has 144 divisors (see below), whose sum is σ = 23000153904. Its totient is φ = 1702600704.

The previous prime is 6978837053. The next prime is 6978837113. The reversal of 6978837060 is 607388796.

It can be written as a sum of positive squares in 8 ways, for example, as 2387690496 + 4591146564 = 48864^2 + 67758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6978836988 and 6978837006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251224 + ... + 277616.

It is an arithmetic number, because the mean of its divisors is an integer number (159723291).

Almost surely, 26978837060 is an apocalyptic number.

6978837060 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 6978837060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500076952).

6978837060 is an abundant number, since it is smaller than the sum of its proper divisors (16021316844).

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

6978837060 is a wasteful number, since it uses less digits than its factorization.

6978837060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26534 (or 26529 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6978837060 is about 83539.4341613588. The cubic root of 6978837060 is about 1911.0014630645.

The spelling of 6978837060 in words is "six billion, nine hundred seventy-eight million, eight hundred thirty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 113 117 130 156 180 195 226 234 260 339 390 452 468 565 585 678 780 1017 1130 1170 1356 1469 1695 2034 2260 2340 2938 3390 4068 4407 5085 5876 6780 7345 8814 10170 13221 14690 17628 20340 22035 26393 26442 29380 44070 52786 52884 66105 79179 88140 105572 131965 132210 158358 237537 263930 264420 316716 343109 395895 475074 527860 686218 791790 950148 1029327 1187685 1372436 1583580 1715545 2058654 2375370 2982409 3087981 3431090 4117308 4750740 5146635 5964818 6175962 6862180 8947227 10293270 11929636 12351924 14912045 15439905 17894454 20586540 26841681 29824090 30879810 35788908 38771317 44736135 53683362 59648180 61759620 77542634 89472270 107366724 116313951 134208405 155085268 178944540 193856585 232627902 268416810 348941853 387713170 465255804 536833620 581569755 697883706 775426340 1163139510 1395767412 1744709265 2326279020 3489418530 6978837060