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21453735173772 = 223111812307138921
BaseRepresentation
bin1001110000011000101100…
…10000111001111010001100
32210221221211200122221220210
410320030112100321322030
510302444222201030042
6113343413200042420
74342660362066066
oct470142620717214
983857750587823
1021453735173772
116921529231750
1224a5a64603410
13bc8103748105
1454251b292736
152730da74da9c
hex138316439e8c

21453735173772 has 96 divisors (see below), whose sum is σ = 54915008698368. Its totient is φ = 6464767680000.

The previous prime is 21453735173771. The next prime is 21453735173837. The reversal of 21453735173772 is 27737153735412.

It is not an unprimeable number, because it can be changed into a prime (21453735173771) 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, 551192872 + ... + 551231792.

It is an arithmetic number, because the mean of its divisors is an integer number (572031340608).

Almost surely, 221453735173772 is an apocalyptic number.

21453735173772 is a gapful number since it is divisible by the number (22) 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 21453735173772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457504349184).

21453735173772 is an abundant number, since it is smaller than the sum of its proper divisors (33461273524596).

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

21453735173772 is a wasteful number, since it uses less digits than its factorization.

21453735173772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62191 (or 62189 counting only the distinct ones).

The product of its digits is 25930800, while the sum is 57.

The spelling of 21453735173772 in words is "twenty-one trillion, four hundred fifty-three billion, seven hundred thirty-five million, one hundred seventy-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3982 5973 7964 11946 23071 23892 38921 46142 69213 77842 92284 116763 138426 155684 233526 253781 276852 428131 467052 507562 761343 856262 1015124 1284393 1522686 1712524 2568786 3045372 4175851 5137572 7044701 8351702 12527553 14089402 16703404 21134103 25055106 28178804 42268206 45934361 50110212 77491711 84536412 91868722 137803083 154983422 183737444 232475133 275606166 309966844 464950266 551212332 897946391 929900532 1795892782 2693839173 3591785564 5387678346 9877410301 10775356692 19754820602 29632230903 39509641204 59264461806 118528923612 162528296771 325056593542 487584890313 650113187084 975169780626 1787811264481 1950339561252 3575622528962 5363433793443 7151245057924 10726867586886 21453735173772