Search a number
-
+
21452577317920 = 255741467172851
BaseRepresentation
bin1001110000010110100010…
…10000000010010000100000
32210221211211222221210021201
410320023101100002100200
510302434334243133140
6113343102235130544
74342616602346050
oct470132120022040
983854758853251
1021452577317920
116920a946a0491
1224a57a08a3a54
13bc7c7a8bb3c8
1454244b5b3560
1527306dc8a49a
hex1382d1402420

21452577317920 has 96 divisors (see below), whose sum is σ = 59334689586816. Its totient is φ = 7175774976000.

The previous prime is 21452577317917. The next prime is 21452577317959. The reversal of 21452577317920 is 2971377525412.

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, 233540506 + ... + 233632345.

It is an arithmetic number, because the mean of its divisors is an integer number (618069683196).

Almost surely, 221452577317920 is an apocalyptic number.

21452577317920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21452577317920 is an abundant number, since it is smaller than the sum of its proper divisors (37882112268896).

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

21452577317920 is a wasteful number, since it uses less digits than its factorization.

21452577317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467172914 (or 467172906 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 21452577317920 in words is "twenty-one trillion, four hundred fifty-two billion, five hundred seventy-seven million, three hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 467172851 934345702 1868691404 2335864255 3270209957 3737382808 4671728510 6540419914 7474765616 9343457020 13080839828 14949531232 16351049785 18686914040 19154086891 26161679656 32702099570 37373828080 38308173782 52323359312 65404199140 74747656160 76616347564 95770434455 104646718624 130808398280 134078608237 153232695128 191540868910 261616796560 268157216474 306465390256 383081737820 523233593120 536314432948 612930780512 670393041185 766163475640 1072628865896 1340786082370 1532326951280 2145257731792 2681572164740 3064653902560 4290515463584 5363144329480 10726288658960 21452577317920