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23084593532 = 227111321014391
BaseRepresentation
bin10101011111111100…
…101111000101111100
32012120210201212002122
4111133330233011330
5334234123443112
614334354542112
71445025543650
oct253774570574
965523655078
1023084593532
119876718880
124582b97938
13223b76a300
14118dc2ca60
1590196e872
hex55ff2f17c

23084593532 has 144 divisors (see below), whose sum is σ = 55091280384. Its totient is φ = 8218080000.

The previous prime is 23084593529. The next prime is 23084593537. The reversal of 23084593532 is 23539548032.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23084593537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5255057 + ... + 5259447.

It is an arithmetic number, because the mean of its divisors is an integer number (382578336).

Almost surely, 223084593532 is an apocalyptic number.

23084593532 is a gapful number since it is divisible by the number (22) 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 23084593532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545640192).

23084593532 is an abundant number, since it is smaller than the sum of its proper divisors (32006686852).

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

23084593532 is a wasteful number, since it uses less digits than its factorization.

23084593532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

It can be divided in two parts, 23084 and 593532, that added together give a palindrome (616616).

The spelling of 23084593532 in words is "twenty-three billion, eighty-four million, five hundred ninety-three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 169 182 202 286 308 338 364 404 572 676 707 1001 1111 1183 1313 1414 1859 2002 2222 2366 2626 2828 3718 4004 4391 4444 4732 5252 7436 7777 8782 9191 13013 14443 15554 17069 17564 18382 26026 28886 30737 31108 34138 36764 48301 52052 57083 57772 61474 68276 96602 101101 114166 119483 122948 187759 193204 202202 228332 238966 338107 375518 399581 404404 443491 477932 627913 676214 742079 751036 799162 886982 1255826 1314313 1352428 1484158 1598324 1773964 2511652 2628626 2968316 3104437 4395391 4878401 5194553 5257252 5765383 6208874 8162869 8790782 9756802 10389106 11530766 12417748 16325738 17581564 19513604 20778212 23061532 32651476 34148807 40357681 57140083 63419213 68297614 74949979 80715362 114280166 126838426 136595228 149899958 161430724 228560332 253676852 299799916 443934491 524649853 824449769 887868982 1049299706 1648899538 1775737964 2098599412 3297799076 5771148383 11542296766 23084593532