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45007848540 = 223252312178933
BaseRepresentation
bin101001111010101011…
…010100010001011100
311022011200012121020100
4221322223110101130
51214134002123130
632402030221100
73152223254214
oct517253242134
9138150177210
1045007848540
11180a6836846
128881054790
13432372b655
14226d713244
15128648dc60
hexa7aad445c

45007848540 has 144 divisors (see below), whose sum is σ = 142592643648. Its totient is φ = 11469545472.

The previous prime is 45007848539. The next prime is 45007848577. The reversal of 45007848540 is 4584870054.

45007848540 is a `hidden beast` number, since 450 + 0 + 7 + 84 + 85 + 40 = 666.

45007848540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5033914 + ... + 5042846.

It is an arithmetic number, because the mean of its divisors is an integer number (990226692).

Almost surely, 245007848540 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 45007848540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71296321824).

45007848540 is an abundant number, since it is smaller than the sum of its proper divisors (97584795108).

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

45007848540 is a wasteful number, since it uses less digits than its factorization.

45007848540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 45007848540 in words is "forty-five billion, seven million, eight hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1217 1380 2070 2434 3651 4140 4868 6085 7302 8933 10953 12170 14604 17866 18255 21906 24340 26799 27991 35732 36510 43812 44665 53598 54765 55982 73020 80397 83973 89330 107196 109530 111964 133995 139955 160794 167946 178660 205459 219060 251919 267990 279910 321588 335892 401985 410918 419865 503838 535980 559820 616377 803970 821836 839730 1007676 1027295 1232754 1259595 1607940 1679460 1849131 2054590 2465508 2519190 3081885 3698262 4109180 5038380 6163770 7396524 9245655 10871461 12327540 18491310 21742922 32614383 36982620 43485844 54357305 65228766 97843149 108714610 130457532 163071915 195686298 217429220 250043603 326143830 391372596 489215745 500087206 652287660 750130809 978431490 1000174412 1250218015 1500261618 1956862980 2250392427 2500436030 3000523236 3750654045 4500784854 5000872060 7501308090 9001569708 11251962135 15002616180 22503924270 45007848540