Search a number
-
+
6861497472 = 27332637549
BaseRepresentation
bin1100110001111101…
…00010010010000000
3122201012010012001000
412120332202102000
5103023020404342
63052505412000
7332014523544
oct63076422200
918635105030
106861497472
112a01155675
1213b5a9a000
1385470139b
144913c5a24
152a25ab44c
hex198fa2480

6861497472 has 128 divisors (see below), whose sum is σ = 20330640000. Its totient is φ = 2278167552.

The previous prime is 6861497413. The next prime is 6861497497. The reversal of 6861497472 is 2747941686.

6861497472 is a `hidden beast` number, since 6 + 86 + 1 + 4 + 97 + 472 = 666.

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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905154 + ... + 912702.

It is an arithmetic number, because the mean of its divisors is an integer number (158833125).

Almost surely, 26861497472 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 6861497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10165320000).

6861497472 is an abundant number, since it is smaller than the sum of its proper divisors (13469142528).

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

6861497472 is a wasteful number, since it uses less digits than its factorization.

6861497472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7817 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 6861497472 is about 82834.1564332009. The cubic root of 6861497472 is about 1900.2305788493.

The spelling of 6861497472 in words is "six billion, eight hundred sixty-one million, four hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 263 288 384 432 526 576 789 864 1052 1152 1578 1728 2104 2367 3156 3456 4208 4734 6312 7101 7549 8416 9468 12624 14202 15098 16832 18936 22647 25248 28404 30196 33664 37872 45294 50496 56808 60392 67941 75744 90588 100992 113616 120784 135882 151488 181176 203823 227232 241568 271764 302976 362352 407646 454464 483136 543528 724704 815292 908928 966272 1087056 1449408 1630584 1985387 2174112 2898816 3261168 3970774 4348224 5956161 6522336 7941548 8696448 11912322 13044672 15883096 17868483 23824644 26089344 31766192 35736966 47649288 53605449 63532384 71473932 95298576 107210898 127064768 142947864 190597152 214421796 254129536 285895728 381194304 428843592 571791456 762388608 857687184 1143582912 1715374368 2287165824 3430748736 6861497472