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45434032020 = 223251341114723
BaseRepresentation
bin101010010100000101…
…000100111110010100
311100021101010222001200
4222110011010332110
51221022103011040
632512212552500
73165616620516
oct522405047624
9140241128050
1045434032020
11182a53657a3
12897b922730
134390b09a20
1422b0171bb6
1512adac5630
hexa94144f94

45434032020 has 144 divisors (see below), whose sum is σ = 148485372672. Its totient is φ = 11178673920.

The previous prime is 45434031959. The next prime is 45434032037. The reversal of 45434032020 is 2023043454.

45434032020 is a `hidden beast` number, since 4 + 54 + 3 + 403 + 202 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9617379 + ... + 9622101.

Almost surely, 245434032020 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 45434032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74242686336).

45434032020 is an abundant number, since it is smaller than the sum of its proper divisors (103051340652).

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

45434032020 is a wasteful number, since it uses less digits than its factorization.

45434032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 45434032020 its reverse (2023043454), we get a palindrome (47457075474).

The spelling of 45434032020 in words is "forty-five billion, four hundred thirty-four million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4111 4723 8222 9446 12333 14169 16444 18892 20555 23615 24666 28338 36999 41110 42507 47230 49332 53443 56676 61399 61665 70845 73998 82220 85014 94460 106886 122798 123330 141690 147996 160329 170028 184197 184995 212535 213772 245596 246660 267215 283380 306995 320658 368394 369990 425070 480987 534430 552591 613990 641316 736788 739980 801645 850140 920985 961974 1068860 1105182 1227980 1603290 1841970 1923948 2210364 2404935 2762955 3206580 3683940 4809870 5525910 9619740 11051820 19416253 38832506 58248759 77665012 97081265 116497518 174746277 194162530 232995036 252411289 291243795 349492554 388325060 504822578 582487590 698985108 757233867 873731385 1009645156 1164975180 1262056445 1514467734 1747462770 2271701601 2524112890 3028935468 3494925540 3786169335 4543403202 5048225780 7572338670 9086806404 11358508005 15144677340 22717016010 45434032020