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6904678680 = 2333525125471
BaseRepresentation
bin1100110111000110…
…10000100100011000
3122211012101000112000
412123203100210120
5103120044204210
63101051121000
7333050541354
oct63343204430
918735330460
106904678680
112a23569319
121408443160
1386063cbb3
14497026464
152a628aac0
hex19b8d0918

6904678680 has 128 divisors (see below), whose sum is σ = 23108198400. Its totient is φ = 1833840000.

The previous prime is 6904678661. The next prime is 6904678687. The reversal of 6904678680 is 868764096.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6904678687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258345 + ... + 283815.

It is an arithmetic number, because the mean of its divisors is an integer number (180532800).

Almost surely, 26904678680 is an apocalyptic number.

6904678680 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 6904678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554099200).

6904678680 is an abundant number, since it is smaller than the sum of its proper divisors (16203519720).

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

6904678680 is a wasteful number, since it uses less digits than its factorization.

6904678680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25742 (or 25732 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6904678680 is about 83094.3962009473. The cubic root of 6904678680 is about 1904.2084627754.

It can be divided in two parts, 6904 and 678680, that added together give a square (685584 = 8282).

The spelling of 6904678680 in words is "six billion, nine hundred four million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 251 270 360 502 540 753 1004 1080 1255 1506 2008 2259 2510 3012 3765 4518 5020 6024 6777 7530 9036 10040 11295 13554 15060 18072 22590 25471 27108 30120 33885 45180 50942 54216 67770 76413 90360 101884 127355 135540 152826 203768 229239 254710 271080 305652 382065 458478 509420 611304 687717 764130 916956 1018840 1146195 1375434 1528260 1833912 2292390 2750868 3056520 3438585 4584780 5501736 6393221 6877170 9169560 12786442 13754340 19179663 25572884 27508680 31966105 38359326 51145768 57538989 63932210 76718652 95898315 115077978 127864420 153437304 172616967 191796630 230155956 255728840 287694945 345233934 383593260 460311912 575389890 690467868 767186520 863084835 1150779780 1380935736 1726169670 2301559560 3452339340 6904678680