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45233999064 = 23324716698009
BaseRepresentation
bin101010001000001010…
…000000110011011000
311022202102202020102200
4222020022000303120
51220114400432224
632440305330200
73160640435202
oct521012006330
9138672666380
1045233999064
1118202460001
128924936960
13435b540727
142291781772
15129b2615c9
hexa88280cd8

45233999064 has 96 divisors (see below), whose sum is σ = 125205912000. Its totient is φ = 14746507776.

The previous prime is 45233999011. The next prime is 45233999087. The reversal of 45233999064 is 46099933254.

It is a super-2 number, since 2×452339990642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45233999064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5643892 + ... + 5651900.

It is an arithmetic number, because the mean of its divisors is an integer number (1304228250).

Almost surely, 245233999064 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 45233999064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62602956000).

45233999064 is an abundant number, since it is smaller than the sum of its proper divisors (79971912936).

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

45233999064 is a wasteful number, since it uses less digits than its factorization.

45233999064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 45233999064 in words is "forty-five billion, two hundred thirty-three million, nine hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1669 1692 3338 3384 5007 6676 8009 10014 13352 15021 16018 20028 24027 30042 32036 40056 48054 60084 64072 72081 78443 96108 120168 144162 156886 192216 235329 288324 313772 376423 470658 576648 627544 705987 752846 941316 1129269 1411974 1505692 1882632 2258538 2823948 3011384 3387807 4517076 5647896 6775614 9034152 13367021 13551228 26734042 27102456 40101063 53468084 80202126 106936168 120303189 160404252 240606378 320808504 481212756 628249987 962425512 1256499974 1884749961 2512999948 3769499922 5025999896 5654249883 7538999844 11308499766 15077999688 22616999532 45233999064