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21542421312 = 263319656141
BaseRepresentation
bin10100000100000001…
…110100001101000000
32001121022212101112000
4110010001310031000
5323104324440222
613521344504000
71361561363016
oct240401641500
961538771460
1021542421312
119155153a85
12421261b000
132054100879
1410850ac8b6
158613949ac
hex504074340

21542421312 has 112 divisors (see below), whose sum is σ = 66664027200. Its totient is φ = 6802859520.

The previous prime is 21542421289. The next prime is 21542421319. The reversal of 21542421312 is 21312424512.

21542421312 is a `hidden beast` number, since 2 + 15 + 424 + 213 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21542421319) 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, 295239 + ... + 360902.

Almost surely, 221542421312 is an apocalyptic number.

It is an amenable number.

21542421312 is an abundant number, since it is smaller than the sum of its proper divisors (45121605888).

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

21542421312 is a wasteful number, since it uses less digits than its factorization.

21542421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656181 (or 656165 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 21542421312 its reverse (21312424512), we get a palindrome (42854845824).

The spelling of 21542421312 in words is "twenty-one billion, five hundred forty-two million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 656141 1312282 1968423 2624564 3936846 5249128 5905269 7873692 10498256 11810538 12466679 15747384 17715807 20996512 23621076 24933358 31494768 35431614 37400037 41993024 47242152 49866716 62989536 70863228 74800074 94484304 99733432 112200111 125979072 141726456 149600148 188968608 199466864 224400222 283452912 299200296 336600333 377937216 398933728 448800444 566905824 598400592 673200666 797867456 897600888 1133811648 1196801184 1346401332 1795201776 2393602368 2692802664 3590403552 5385605328 7180807104 10771210656 21542421312