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23429910816 = 25321317368117
BaseRepresentation
bin10101110100100010…
…000001000100100000
32020110212111210100200
4111310202001010200
5340441024121231
614432532145200
71456420645614
oct256442010440
966425453320
1023429910816
119a33634864
12465a768200
132295173c70
1411c3a3b344
15921e30be6
hex574881120

23429910816 has 144 divisors (see below), whose sum is σ = 75975137784. Its totient is φ = 6785114112.

The previous prime is 23429910689. The next prime is 23429910913. The reversal of 23429910816 is 61801992432.

It can be written as a sum of positive squares in 4 ways, for example, as 18442726416 + 4987184400 = 135804^2 + 70620^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120411 + ... + 247706.

Almost surely, 223429910816 is an apocalyptic number.

23429910816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23429910816 is an abundant number, since it is smaller than the sum of its proper divisors (52545226968).

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

23429910816 is a wasteful number, since it uses less digits than its factorization.

23429910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368163 (or 368152 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 23429910816 in words is "twenty-three billion, four hundred twenty-nine million, nine hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 368117 736234 1104351 1472468 2208702 2944936 3313053 4417404 4785521 5889872 6257989 6626106 8834808 9571042 11779744 12515978 13252212 14356563 17669616 18773967 19142084 25031956 26504424 28713126 35339232 37547934 38284168 43069689 50063912 53008848 56321901 57426252 75095868 76568336 81353857 86139378 100127824 106017696 112643802 114852504 150191736 153136672 162707714 172278756 200255648 225287604 229705008 244061571 300383472 325415428 344557512 450575208 459410016 488123142 600766944 650830856 689115024 732184713 901150416 976246284 1301661712 1378230048 1464369426 1802300832 1952492568 2603323424 2928738852 3904985136 5857477704 7809970272 11714955408 23429910816