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21297243168 = 253510925127
BaseRepresentation
bin10011110101011010…
…100010010000100000
32000222020112001100000
4103311122202100200
5322104043240133
613441145500000
71352523402645
oct236532422040
960866461300
1021297243168
119039814013
1241644a1600
132015388b46
1410606c9dcc
15849ab4413
hex4f56a2420

21297243168 has 144 divisors (see below), whose sum is σ = 63385882560. Its totient is φ = 7033671936.

The previous prime is 21297243109. The next prime is 21297243169. The reversal of 21297243168 is 86134279212.

21297243168 is a `hidden beast` number, since 21 + 297 + 24 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (21297243169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835021 + ... + 860147.

It is an arithmetic number, because the mean of its divisors is an integer number (440179740).

Almost surely, 221297243168 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 21297243168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31692941280).

21297243168 is an abundant number, since it is smaller than the sum of its proper divisors (42088639392).

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

21297243168 is a wasteful number, since it uses less digits than its factorization.

21297243168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25261 (or 25241 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 21297243168 in words is "twenty-one billion, two hundred ninety-seven million, two hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 243 288 324 327 432 436 486 648 654 864 872 972 981 1296 1308 1744 1944 1962 2592 2616 2943 3488 3888 3924 5232 5886 7776 7848 8829 10464 11772 15696 17658 23544 25127 26487 31392 35316 47088 50254 52974 70632 75381 94176 100508 105948 141264 150762 201016 211896 226143 282528 301524 402032 423792 452286 603048 678429 804064 847584 904572 1206096 1356858 1809144 2035287 2412192 2713716 2738843 3618288 4070574 5427432 5477686 6105861 7236576 8141148 8216529 10854864 10955372 12211722 16282296 16433058 21709728 21910744 24423444 24649587 32564592 32866116 43821488 48846888 49299174 65129184 65732232 73948761 87642976 97693776 98598348 131464464 147897522 195387552 197196696 221846283 262928928 295795044 394393392 443692566 591590088 665538849 788786784 887385132 1183180176 1331077698 1774770264 2366360352 2662155396 3549540528 5324310792 7099081056 10648621584 21297243168