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21434616010432 = 265961487719081
BaseRepresentation
bin1001101111110101000101…
…01011000101011011000000
32210220010111020120211102001
410313322202223011123000
510302141043144313212
6113330532054033344
74341412523635102
oct467724253053300
983803436524361
1021434616010432
116914407a36309
1224a2209648854
13bc63776b7501
14541625d79572
1527286bec6657
hex137ea2ac56c0

21434616010432 has 112 divisors (see below), whose sum is σ = 43975658190240. Its totient is φ = 10360275148800.

The previous prime is 21434616010411. The next prime is 21434616010513. The reversal of 21434616010432 is 23401061643412.

It is a junction number, because it is equal to n+sod(n) for n = 21434616010391 and 21434616010400.

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, 1123339132 + ... + 1123358212.

It is an arithmetic number, because the mean of its divisors is an integer number (392639805270).

Almost surely, 221434616010432 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 21434616010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987829095120).

21434616010432 is an abundant number, since it is smaller than the sum of its proper divisors (22541042179808).

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

21434616010432 is a wasteful number, since it uses less digits than its factorization.

21434616010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24090 (or 24080 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 21434616010432 its reverse (23401061643412), we get a palindrome (44835677653844).

The spelling of 21434616010432 in words is "twenty-one trillion, four hundred thirty-four billion, six hundred sixteen million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 236 244 472 488 944 976 1888 1952 3599 3776 3904 4877 7198 9754 14396 19081 19508 28792 38162 39016 57584 76324 78032 115168 152648 156064 230336 287743 297497 305296 312128 575486 594994 610592 1125779 1150972 1163941 1189988 1221184 2251558 2301944 2327882 2379976 4503116 4603888 4655764 4759952 9006232 9207776 9311528 9519904 17552323 18012464 18415552 18623056 19039808 35104646 36024928 37246112 68672519 70209292 72049856 74492224 93058037 137345038 140418584 186116074 274690076 280837168 372232148 549380152 561674336 744464296 1098760304 1123348672 1488928592 2197520608 2977857184 4395041216 5490424183 5676540257 5955714368 10980848366 11353080514 21961696732 22706161028 43923393464 45412322056 87846786928 90824644112 175693573856 181649288224 334915875163 351387147712 363298576448 669831750326 1339663500652 2679327001304 5358654002608 10717308005216 21434616010432