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23453602923664 = 2417222923112
BaseRepresentation
bin1010101010100101101111…
…01010111100010010010000
310002001010211220122210211201
411111102313222330102100
511033230434322024124
6121514234134320544
74640316100352254
oct525226752742220
9102033756583751
1023453602923664
117522687464021
1227695701b9154
131011885786784
145b1236358264
152aa136d06144
hex1554b7abc490

23453602923664 has 135 divisors (see below), whose sum is σ = 48639722885931. Its totient is φ = 10953459409920.

The previous prime is 23453602923649. The next prime is 23453602923679. The reversal of 23453602923664 is 46632920635432.

The square root of 23453602923664 is 4842892.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23453602923649) and next prime (23453602923679).

It can be written as a sum of positive squares in 4 ways, for example, as 12437895027600 + 11015707896064 = 3526740^2 + 3318992^2 .

It is a super-3 number, since 3×234536029236643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75413514069 + ... + 75413514379.

Almost surely, 223453602923664 is an apocalyptic number.

23453602923664 is the 4842892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23453602923664

23453602923664 is an abundant number, since it is smaller than the sum of its proper divisors (25186119962267).

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

23453602923664 is an frugal number, since it uses more digits than its factorization.

23453602923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 55.

The spelling of 23453602923664 in words is "twenty-three trillion, four hundred fifty-three billion, six hundred two million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 229 272 289 311 458 578 622 916 1156 1244 1832 2312 2488 3664 3893 4624 4976 5287 7786 10574 15572 21148 31144 42296 52441 62288 66181 71219 84592 89879 96721 104882 132362 142438 179758 193442 209764 264724 284876 359516 386884 419528 529448 569752 719032 773768 839056 891497 1058896 1139504 1210723 1438064 1547536 1644257 1782994 2421446 3288514 3565988 4842892 6577028 7131976 9685784 13154056 14263952 15155449 16309151 19371568 20582291 22149109 26308112 27952369 30310898 32618302 41164582 44298218 55904738 60621796 65236604 82329164 88596436 111809476 121243592 130473208 164658328 177192872 223618952 242487184 260946416 277255567 329316656 354385744 376534853 447237904 554511134 753069706 1109022268 1506139412 2218044536 3012278824 4436089072 4713344639 5072145961 6024557648 6401092501 9426689278 10144291922 12802185002 18853378556 20288583844 25604370004 37706757112 40577167688 51208740008 75413514224 81154335376 86226481337 102417480016 172452962674 344905925348 689811850696 1379623701392 1465850182729 2931700365458 5863400730916 11726801461832 23453602923664