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466666940688 = 2431329103125013
BaseRepresentation
bin1101100101001111000…
…01000110100100010000
31122121112211011212001020
412302213201012210100
530121213214100223
6554214524035440
745500304355404
oct6624741064420
91577484155036
10466666940688
1116aa0435a6a3
1276539992b80
133501139a040
1418830275104
15c2145c61e3
hex6ca7846910

466666940688 has 160 divisors (see below), whose sum is σ = 1344416451840. Its totient is φ = 138498447360.

The previous prime is 466666940657. The next prime is 466666940743. The reversal of 466666940688 is 886049666664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18644470 + ... + 18669482.

It is an arithmetic number, because the mean of its divisors is an integer number (8402602824).

Almost surely, 2466666940688 is an apocalyptic number.

466666940688 is a gapful number since it is divisible by the number (48) 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 466666940688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672208225920).

466666940688 is an abundant number, since it is smaller than the sum of its proper divisors (877749511152).

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

466666940688 is a wasteful number, since it uses less digits than its factorization.

466666940688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26097 (or 26091 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 69.

The spelling of 466666940688 in words is "four hundred sixty-six billion, six hundred sixty-six million, nine hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1031 1131 1392 1508 2062 2262 3016 3093 4124 4524 6032 6186 8248 9048 12372 13403 16496 18096 24744 25013 26806 29899 40209 49488 50026 53612 59798 75039 80418 89697 100052 107224 119596 150078 160836 179394 200104 214448 239192 300156 321672 325169 358788 388687 400208 478384 600312 643344 650338 717576 725377 777374 975507 1166061 1200624 1300676 1435152 1450754 1554748 1951014 2176131 2332122 2601352 2901508 3109496 3902028 4352262 4664244 5202704 5803016 6218992 7804056 8704524 9328488 9429901 11606032 15608112 17409048 18656976 18859802 25788403 28289703 34818096 37719604 51576806 56579406 75439208 77365209 103153612 113158812 150878416 154730418 206307224 226317624 309460836 335249239 412614448 452635248 618921672 670498478 747863687 1005747717 1237843344 1340996956 1495727374 2011495434 2243591061 2681993912 2991454748 4022990868 4487182122 5363987824 5982909496 8045981736 8974364244 9722227931 11965818992 16091963472 17948728488 19444455862 29166683793 35897456976 38888911724 58333367586 77777823448 116666735172 155555646896 233333470344 466666940688