Search a number
-
+
21718423872 = 2632291300193
BaseRepresentation
bin10100001110100001…
…001101100101000000
32002001121001020122100
4110032201031211000
5323434404030442
613551033110400
71366126362015
oct241641154500
962047036570
1021718423872
119235536342
124261558400
1320817050b2
1410a060570c
15871a5d84c
hex50e84d940

21718423872 has 84 divisors (see below), whose sum is σ = 64398608820. Its totient is φ = 6989832192.

The previous prime is 21718423871. The next prime is 21718423913. The reversal of 21718423872 is 27832481712.

21718423872 is a `hidden beast` number, since 217 + 1 + 8 + 423 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16709181696 + 5009242176 = 129264^2 + 70776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21718423871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 633393 + ... + 666800.

It is an arithmetic number, because the mean of its divisors is an integer number (766650105).

Almost surely, 221718423872 is an apocalyptic number.

It is an amenable number.

21718423872 is an abundant number, since it is smaller than the sum of its proper divisors (42680184948).

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

21718423872 is a wasteful number, since it uses less digits than its factorization.

21718423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300240 (or 1300227 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 21718423872 in words is "twenty-one billion, seven hundred eighteen million, four hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 1300193 2600386 3900579 5200772 7801158 10401544 11701737 15602316 20803088 23403474 31204632 37705597 41606176 46806948 62409264 75411194 83212352 93613896 113116791 124818528 150822388 187227792 226233582 249637056 301644776 339350373 374455584 452467164 603289552 678700746 748911168 904934328 1206579104 1357401492 1809868656 2413158208 2714802984 3619737312 5429605968 7239474624 10859211936 21718423872