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21391058439680 = 295163487105263
BaseRepresentation
bin1001101110100011111100…
…11100001000111000000000
32210201222001122022222021212
410313101332130020320000
510300432341430032210
6113254525552105252
74335311240455646
oct467217634107000
983658048288255
1021391058439680
1168a7995909756
122495892235228
13bc222558c2c7
1453d493105196
1527166d00e805
hex13747e708e00

21391058439680 has 160 divisors (see below), whose sum is σ = 51709510093824. Its totient is φ = 8486387490816.

The previous prime is 21391058439629. The next prime is 21391058439689. The reversal of 21391058439680 is 8693485019312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21391058439689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203162729 + ... + 203267991.

Almost surely, 221391058439680 is an apocalyptic number.

21391058439680 is a gapful number since it is divisible by the number (20) 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 21391058439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854755046912).

21391058439680 is an abundant number, since it is smaller than the sum of its proper divisors (30318451654144).

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

21391058439680 is a wasteful number, since it uses less digits than its factorization.

21391058439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105936 (or 105920 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 21391058439680 in words is "twenty-one trillion, three hundred ninety-one billion, fifty-eight million, four hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 487 512 640 652 815 974 1280 1304 1630 1948 2435 2560 2608 3260 3896 4870 5216 6520 7792 9740 10432 13040 15584 19480 20864 26080 31168 38960 41728 52160 62336 77920 79381 83456 104320 105263 124672 155840 158762 208640 210526 249344 311680 317524 396905 417280 421052 526315 623360 635048 793810 842104 1052630 1246720 1270096 1587620 1684208 2105260 2540192 3175240 3368416 4210520 5080384 6350480 6736832 8421040 10160768 12700960 13473664 16842080 17157869 20321536 25401920 26947328 33684160 34315738 40643072 50803840 51263081 53894656 67368320 68631476 85789345 101607680 102526162 134736640 137262952 171578690 203215360 205052324 256315405 269473280 274525904 343157380 410104648 512630810 549051808 686314760 820209296 1025261620 1098103616 1372629520 1640418592 2050523240 2196207232 2745259040 3280837184 4101046480 4392414464 5490518080 6561674368 8202092960 8355882203 8784828928 10981036160 13123348736 16404185920 16711764406 21962072320 26246697472 32808371840 33423528812 41779411015 43924144640 65616743680 66847057624 83558822030 131233487360 133694115248 167117644060 267388230496 334235288120 534776460992 668470576240 1069552921984 1336941152480 2139105843968 2673882304960 4278211687936 5347764609920 10695529219840 21391058439680