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6820504944912 = 24352069847871
BaseRepresentation
bin110001101000000010111…
…0001100100000100010000
3220011000220201100102100000
41203100011301210010100
51343221343231214122
622301144031330000
71302523320320541
oct143200561440420
926130821312300
106820504944912
11219a61825a80a
12921a39380900
133a622b4aab69
1419818551c4c8
15bc63c4d90ac
hex63405c64110

6820504944912 has 120 divisors (see below), whose sum is σ = 19804492431360. Its totient is φ = 2272400127360.

The previous prime is 6820504944857. The next prime is 6820504944919. The reversal of 6820504944912 is 2194494050286.

6820504944912 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 504 + 9 + 44 + 91 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6820504944919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7620337 + ... + 8468207.

It is an arithmetic number, because the mean of its divisors is an integer number (165037436928).

Almost surely, 26820504944912 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 6820504944912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902246215680).

6820504944912 is an abundant number, since it is smaller than the sum of its proper divisors (12983987486448).

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

6820504944912 is a wasteful number, since it uses less digits than its factorization.

6820504944912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849963 (or 849945 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6820504944912 in words is "six trillion, eight hundred twenty billion, five hundred four million, nine hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2069 3888 4138 6207 8276 12414 16552 18621 24828 33104 37242 49656 55863 74484 99312 111726 148968 167589 223452 297936 335178 446904 502767 670356 847871 893808 1005534 1340712 1695742 2011068 2543613 2681424 3391484 4022136 5087226 6782968 7630839 8044272 10174452 13565936 15261678 20348904 22892517 30523356 40697808 45785034 61046712 68677551 91570068 122093424 137355102 183140136 206032653 274710204 366280272 412065306 549420408 824130612 1098840816 1648261224 1754245099 3296522448 3508490198 5262735297 7016980396 10525470594 14033960792 15788205891 21050941188 28067921584 31576411782 42101882376 47364617673 63152823564 84203764752 94729235346 126305647128 142093853019 189458470692 252611294256 284187706038 378916941384 426281559057 568375412076 757833882768 852563118114 1136750824152 1705126236228 2273501648304 3410252472456 6820504944912