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23245787277328 = 2471129759185711
BaseRepresentation
bin1010100100100010101001…
…11001001010100000010000
310001022021102212212011010111
411102101110321022200100
511021324333020333303
6121234544532011104
74616311164455320
oct522212471124020
9101267385764114
1023245787277328
1174525349a1080
122735233160a94
13cc80b7190bc5
145a516027b280
152a4a2264eb6d
hex152454e4a810

23245787277328 has 160 divisors (see below), whose sum is σ = 58096772997120. Its totient is φ = 8743242816000.

The previous prime is 23245787277311. The next prime is 23245787277337. The reversal of 23245787277328 is 82377278754232.

It is a super-2 number, since 2×232457872773282 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271168393 + ... + 271254103.

It is an arithmetic number, because the mean of its divisors is an integer number (363104831232).

Almost surely, 223245787277328 is an apocalyptic number.

23245787277328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23245787277328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29048386498560).

23245787277328 is an abundant number, since it is smaller than the sum of its proper divisors (34850985719792).

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

23245787277328 is a wasteful number, since it uses less digits than its factorization.

23245787277328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93357 (or 93351 counting only the distinct ones).

The product of its digits is 442552320, while the sum is 67.

The spelling of 23245787277328 in words is "twenty-three trillion, two hundred forty-five billion, seven hundred eighty-seven million, two hundred seventy-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 7591 8932 15182 17864 30364 35728 53137 60728 83501 85711 106274 121456 167002 171422 212548 220139 334004 342844 425096 440278 584507 599977 668008 685688 850192 880556 942821 1169014 1199954 1336016 1371376 1540973 1761112 1885642 2338028 2399908 2421529 2485619 3081946 3522224 3771284 4676056 4799816 4843058 4971238 6163892 6599747 7542568 9352112 9599632 9686116 9942476 12327784 13199494 15085136 16950703 17399333 19372232 19884952 24655568 26398988 27341809 33901406 34798666 38744464 39769904 52797976 54683618 67802812 69597332 105595952 109367236 135605624 139194664 191392663 218734472 271211248 278389328 382785326 437468944 650632201 765570652 1301264402 1531141304 2602528804 3062282608 4554425407 5205057608 7156954211 9108850814 10410115216 14313908422 18217701628 18868333829 28627816844 36435403256 37736667658 50098679477 57255633688 72870806512 75473335316 100197358954 114511267376 132078336803 150946670632 200394717908 207551672119 264156673606 301893341264 400789435816 415103344238 528313347212 801578871632 830206688476 1056626694424 1452861704833 1660413376952 2113253388848 2905723409666 3320826753904 5811446819332 11622893638664 23245787277328