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23154445132 = 227131015711103
BaseRepresentation
bin10101100100000111…
…001100101101001100
32012202200011200110221
4111210013030231030
5334410014221012
614345332041124
71446534351640
oct254407145514
965680150427
1023154445132
119902098375
1245a24631a4
132250086410
141199212c20
15907b6b507
hex5641ccb4c

23154445132 has 96 divisors (see below), whose sum is σ = 50498832384. Its totient is φ = 9045216000.

The previous prime is 23154445129. The next prime is 23154445141.

23154445132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231544451322 (a number of 22 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, 20991693 + ... + 20992795.

It is an arithmetic number, because the mean of its divisors is an integer number (526029504).

Almost surely, 223154445132 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 23154445132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25249416192).

23154445132 is an abundant number, since it is smaller than the sum of its proper divisors (27344387252).

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

23154445132 is a wasteful number, since it uses less digits than its factorization.

23154445132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1797 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 231544 and 45132, that added together give a square (276676 = 5262).

The spelling of 23154445132 in words is "twenty-three billion, one hundred fifty-four million, four hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 571 707 1103 1142 1313 1414 2206 2284 2626 2828 3997 4412 5252 7423 7721 7994 9191 14339 14846 15442 15988 18382 28678 29692 30884 36764 51961 57356 57671 100373 103922 111403 115342 200746 207844 222806 230684 401492 403697 445612 629813 749723 779821 807394 1259626 1448239 1499446 1559642 1614788 2519252 2896478 2998892 3119284 4408691 5248061 5792956 8187569 8817382 10137673 10496122 16375138 17634764 20275346 20992244 32750276 40550692 57312983 63611113 114625966 127222226 229251932 254444452 445277791 826944469 890555582 1653888938 1781111164 3307777876 5788611283 11577222566 23154445132