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3468866697472 = 28111303945389
BaseRepresentation
bin110010011110101000100…
…100010011100100000000
3110021121202021200100111211
4302132220210103210000
5423313214333304342
611213324140015504
7505421515266541
oct62365044234400
913247667610454
103468866697472
1111181578aa190
12480358531594
131c2160874977
14bdc733844c8
1560376ed9c17
hex327a8913900

3468866697472 has 72 divisors (see below), whose sum is σ = 7559459449920. Its totient is φ = 1575545825280.

The previous prime is 3468866697469. The next prime is 3468866697473. The reversal of 3468866697472 is 2747966688643.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3468866697473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3196554 + ... + 4141942.

It is an arithmetic number, because the mean of its divisors is an integer number (104992492360).

Almost surely, 23468866697472 is an apocalyptic number.

3468866697472 is a gapful number since it is divisible by the number (32) 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 3468866697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779729724960).

3468866697472 is an abundant number, since it is smaller than the sum of its proper divisors (4090592752448).

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

3468866697472 is a wasteful number, since it uses less digits than its factorization.

3468866697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946719 (or 946705 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 76.

The spelling of 3468866697472 in words is "three trillion, four hundred sixty-eight billion, eight hundred sixty-six million, six hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1303 1408 2606 2816 5212 10424 14333 20848 28666 41696 57332 83392 114664 166784 229328 333568 458656 917312 945389 1834624 1890778 3669248 3781556 7563112 10399279 15126224 20798558 30252448 41597116 60504896 83194232 121009792 166388464 242019584 332776928 665553856 1231841867 1331107712 2463683734 2662215424 4927367468 9854734936 13550260537 19709469872 27100521074 39418939744 54201042148 78837879488 108402084296 157675758976 216804168592 315351517952 433608337184 867216674368 1734433348736 3468866697472