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21383353872 = 2432474017879
BaseRepresentation
bin10011111010100011…
…000001011000010000
32001012020112221000100
4103322203001120100
5322243114310442
613453503252400
71354620336366
oct237243013020
961166487010
1021383353872
119083389291
1241892aa100
13202a17871a
14106bd03636
1585242384c
hex4fa8c1610

21383353872 has 120 divisors (see below), whose sum is σ = 61277149440. Its totient is φ = 6957849600.

The previous prime is 21383353861. The next prime is 21383353889. The reversal of 21383353872 is 27835338312.

21383353872 is a `hidden beast` number, since 2 + 13 + 8 + 33 + 538 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710029 + ... + 2717907.

It is an arithmetic number, because the mean of its divisors is an integer number (510642912).

Almost surely, 221383353872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21383353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638574720).

21383353872 is an abundant number, since it is smaller than the sum of its proper divisors (39893795568).

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

21383353872 is a wasteful number, since it uses less digits than its factorization.

21383353872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8332 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 21383353872 in words is "twenty-one billion, three hundred eighty-three million, three hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 401 423 564 752 802 846 1128 1203 1604 1692 2256 2406 3208 3384 3609 4812 6416 6768 7218 7879 9624 14436 15758 18847 19248 23637 28872 31516 37694 47274 56541 57744 63032 70911 75388 94548 113082 126064 141822 150776 169623 189096 226164 283644 301552 339246 370313 378192 452328 567288 678492 740626 904656 1110939 1134576 1356984 1481252 2221878 2713968 2962504 3159479 3332817 4443756 5925008 6318958 6665634 8887512 9478437 12637916 13331268 17775024 18956874 25275832 26662536 28435311 37913748 50551664 53325072 56870622 75827496 113741244 148495513 151654992 227482488 296991026 445486539 454964976 593982052 890973078 1187964104 1336459617 1781946156 2375928208 2672919234 3563892312 5345838468 7127784624 10691676936 21383353872