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45435532000 = 255392912227
BaseRepresentation
bin101010010100001010…
…110011001011100000
311100021110222011122111
4222110022303023200
51221022444011000
632512305045104
73165635435605
oct522412631340
9140243864574
1045435532000
11182a619a751
128980326794
1343912136a1
1422b04426ac
1512adcbecba
hexa942b32e0

45435532000 has 96 divisors (see below), whose sum is σ = 111764409120. Its totient is φ = 18153164800.

The previous prime is 45435531983. The next prime is 45435532031. The reversal of 45435532000 is 23553454.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3709887 + ... + 3722113.

It is an arithmetic number, because the mean of its divisors is an integer number (1164212595).

Almost surely, 245435532000 is an apocalyptic number.

45435532000 is a gapful number since it is divisible by the number (40) 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 45435532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55882204560).

45435532000 is an abundant number, since it is smaller than the sum of its proper divisors (66328877120).

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

45435532000 is a wasteful number, since it uses less digits than its factorization.

45435532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 45435532000 in words is "forty-five billion, four hundred thirty-five million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 929 1000 1858 2000 3716 4000 4645 7432 9290 12227 14864 18580 23225 24454 29728 37160 46450 48908 61135 74320 92900 97816 116125 122270 148640 185800 195632 232250 244540 305675 371600 391264 464500 489080 611350 743200 929000 978160 1222700 1528375 1858000 1956320 2445400 3056750 3716000 4890800 6113500 9781600 11358883 12227000 22717766 24454000 45435532 48908000 56794415 90871064 113588830 181742128 227177660 283972075 363484256 454355320 567944150 908710640 1135888300 1419860375 1817421280 2271776600 2839720750 4543553200 5679441500 9087106400 11358883000 22717766000 45435532000