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21004413422432 = 2511293991205507
BaseRepresentation
bin1001100011010011110001…
…00110011100101101100000
32202101000001200112000112212
410301221320212130231200
510223114014314004212
6112401143323341252
74265342642161466
oct461517046345540
982330050460485
1021004413422432
116768a1587a590
122432967681828
13b94927a31b2b
145288948b4836
1526658dcd7e22
hex131a7899cb60

21004413422432 has 96 divisors (see below), whose sum is σ = 45311613871104. Its totient is φ = 9505227916800.

The previous prime is 21004413422351. The next prime is 21004413422449. The reversal of 21004413422432 is 23422431440012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102105023 + ... + 102310529.

It is an arithmetic number, because the mean of its divisors is an integer number (471995977824).

Almost surely, 221004413422432 is an apocalyptic number.

21004413422432 is a gapful number since it is divisible by the number (22) 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 21004413422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655806935552).

21004413422432 is an abundant number, since it is smaller than the sum of its proper divisors (24307200448672).

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

21004413422432 is a wasteful number, since it uses less digits than its factorization.

21004413422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206812 (or 206804 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 21004413422432 its reverse (23422431440012), we get a palindrome (44426844862444).

The spelling of 21004413422432 in words is "twenty-one trillion, four billion, four hundred thirteen million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 293 352 586 991 1172 1982 2344 3223 3964 4688 6446 7928 9376 10901 12892 15856 21802 25784 31712 43604 51568 87208 103136 174416 205507 290363 348832 411014 580726 822028 1161452 1644056 2260577 2322904 3193993 3288112 4521154 4645808 6387986 6576224 9042308 9291616 12775972 18084616 25551944 36169232 51103888 60213551 72338464 102207776 120427102 203657437 240854204 407314874 481708408 662349061 814629748 963416816 1324698122 1629259496 1926833632 2240231807 2649396244 3258518992 4480463614 5298792488 6517037984 8960927228 10597584976 17921854456 21195169952 35843708912 59671629041 71687417824 119343258082 238686516164 477373032328 656387919451 954746064656 1312775838902 1909492129312 2625551677804 5251103355608 10502206711216 21004413422432