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21423886720 = 275311318243
BaseRepresentation
bin10011111100111101…
…101001000110000000
32001022001211012121221
4103330331221012000
5322334003333340
613501512124424
71355622014065
oct237475510600
961261735557
1021423886720
1190a4253205
12419a996714
13203569a962
141073454c6c
15855c7d44a
hex4fcf69180

21423886720 has 128 divisors (see below), whose sum is σ = 53278663680. Its totient is φ = 8228812800.

The previous prime is 21423886699. The next prime is 21423886721. The reversal of 21423886720 is 2768832412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21423886721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2594919 + ... + 2603161.

It is an arithmetic number, because the mean of its divisors is an integer number (416239560).

Almost surely, 221423886720 is an apocalyptic number.

21423886720 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 21423886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639331840).

21423886720 is an abundant number, since it is smaller than the sum of its proper divisors (31854776960).

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

21423886720 is a wasteful number, since it uses less digits than its factorization.

21423886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 21423886720 in words is "twenty-one billion, four hundred twenty-three million, eight hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 131 155 160 248 262 310 320 496 524 620 640 655 992 1048 1240 1310 1984 2096 2480 2620 3968 4061 4192 4960 5240 8122 8243 8384 9920 10480 16244 16486 16768 19840 20305 20960 32488 32972 40610 41215 41920 64976 65944 81220 82430 83840 129952 131888 162440 164860 255533 259904 263776 324880 329720 511066 519808 527552 649760 659440 1022132 1055104 1079833 1277665 1299520 1318880 2044264 2159666 2555330 2599040 2637760 4088528 4319332 5110660 5275520 5399165 8177056 8638664 10221320 10798330 16354112 17277328 20442640 21596660 32708224 33474823 34554656 40885280 43193320 66949646 69109312 81770560 86386640 133899292 138218624 163541120 167374115 172773280 267798584 334748230 345546560 535597168 669496460 691093120 1071194336 1338992920 2142388672 2677985840 4284777344 5355971680 10711943360 21423886720