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23085458032 = 24713412711427
BaseRepresentation
bin10101100000000000…
…000010001001110000
32012120212100202222011
4111200000002021300
5334234334124112
614334425252304
71445036104240
oct254000021160
965525322864
1023085458032
11987715933a
124583334094
13223b9b0950
14118ddb5b20
15901a90aa7
hex560002270

23085458032 has 160 divisors (see below), whose sum is σ = 56640374784. Its totient is φ = 8870860800.

The previous prime is 23085458017. The next prime is 23085458047.

23085458032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23085458017) and next prime (23085458047).

It is a congruent number.

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, 16176903 + ... + 16178329.

Almost surely, 223085458032 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 23085458032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320187392).

23085458032 is an abundant number, since it is smaller than the sum of its proper divisors (33554916752).

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

23085458032 is a wasteful number, since it uses less digits than its factorization.

23085458032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 23085458032 in words is "twenty-three billion, eighty-five million, four hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 271 287 328 364 533 542 574 656 728 1066 1084 1148 1427 1456 1897 2132 2168 2296 2854 3523 3731 3794 4264 4336 4592 5708 7046 7462 7588 8528 9989 11111 11416 14092 14924 15176 18551 19978 22222 22832 24661 28184 29848 30352 37102 39956 44444 49322 56368 58507 59696 74204 77777 79912 88888 98644 117014 129857 144443 148408 155554 159824 177776 197288 234028 259714 288886 296816 311108 386717 394576 409549 468056 519428 577772 622216 760591 773434 819098 936112 1011101 1038856 1155544 1244432 1521182 1546868 1638196 2022202 2077712 2311088 2707019 3042364 3093736 3276392 4044404 5027321 5324137 5414038 6084728 6187472 6552784 8088808 10054642 10648274 10828076 12169456 15855397 16177616 20109284 21296548 21656152 31710794 35191247 40218568 42593096 43312304 63421588 70382494 80437136 85186192 110987779 126843176 140764988 206120161 221975558 253686352 281529976 412240322 443951116 563059952 824480644 887902232 1442841127 1648961288 1775804464 2885682254 3297922576 5771364508 11542729016 23085458032