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21144545334 = 232112310145971
BaseRepresentation
bin10011101100010100…
…000010100000110110
32000120121012012021200
4103230110002200312
5321301000422314
613414052553330
71345660445523
oct235424024066
960517165250
1021144545334
118a705a9960
124121322846
131cbc853cb3
1410482dc14a
1583b4a0709
hex4ec502836

21144545334 has 96 divisors (see below), whose sum is σ = 52668465408. Its totient is φ = 6068040000.

The previous prime is 21144545327. The next prime is 21144545353. The reversal of 21144545334 is 43354544112.

21144545334 is a `hidden beast` number, since 2 + 114 + 4 + 5 + 4 + 533 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436969 + ... + 482939.

It is an arithmetic number, because the mean of its divisors is an integer number (548629848).

Almost surely, 221144545334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144545334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334232704).

21144545334 is an abundant number, since it is smaller than the sum of its proper divisors (31523920074).

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

21144545334 is a wasteful number, since it uses less digits than its factorization.

21144545334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46114 (or 46111 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 21144545334 in words is "twenty-one billion, one hundred forty-four million, five hundred forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 101 138 198 202 207 253 303 414 506 606 759 909 1111 1518 1818 2222 2277 2323 3333 4554 4646 6666 6969 9999 13938 19998 20907 25553 41814 45971 51106 76659 91942 137913 153318 229977 275826 413739 459954 505681 827478 1011362 1057333 1517043 2114666 3034086 3171999 4551129 4643071 6343998 9102258 9286142 9515997 11630663 13929213 19031994 23261326 27858426 34891989 41787639 51073781 69783978 83575278 102147562 104675967 106790633 153221343 209351934 213581266 306442686 320371899 459664029 640743798 919328058 961115697 1174696963 1922231394 2349393926 3524090889 7048181778 10572272667 21144545334