Search a number
-
+
45333345420 = 223251153431993
BaseRepresentation
bin101010001110000100…
…111111010010001100
311100000100200120000100
4222032010333102030
51220320314023140
632454214531100
73163255035546
oct521604772214
9140010616010
1045333345420
1118253545430
128952066a90
134375cb585c
1422a0a42696
1512a4d37530
hexa8e13f48c

45333345420 has 144 divisors (see below), whose sum is σ = 152842933152. Its totient is φ = 10782520320.

The previous prime is 45333345419. The next prime is 45333345457. The reversal of 45333345420 is 2454333354.

45333345420 is a `hidden beast` number, since 4 + 53 + 33 + 34 + 542 + 0 = 666.

It is a super-2 number, since 2×453333454202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111057 + ... + 320936.

It is an arithmetic number, because the mean of its divisors is an integer number (1061409258).

Almost surely, 245333345420 is an apocalyptic number.

It is an amenable number.

45333345420 is an abundant number, since it is smaller than the sum of its proper divisors (107509587732).

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

45333345420 is a wasteful number, since it uses less digits than its factorization.

45333345420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432072 (or 432067 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 45333345420 its reverse (2454333354), we get a palindrome (47787678774).

The spelling of 45333345420 in words is "forty-five billion, three hundred thirty-three million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 431993 863986 1295979 1727972 2159965 2591958 3887937 4319930 4751923 5183916 6479895 7775874 8639860 9503846 12959790 14255769 15551748 19007692 19439685 22895629 23759615 25919580 28511538 38879370 42767307 45791258 47519230 57023076 68686887 71278845 77758740 85534614 91582516 95038460 114478145 137373774 142557690 171069228 206060661 213836535 228956290 251851919 274747548 285115380 343434435 412121322 427673070 457912580 503703838 686868870 755555757 824242644 855346140 1007407676 1030303305 1259259595 1373737740 1511111514 2060606610 2266667271 2518519190 3022223028 3777778785 4121213220 4533334542 5037038380 7555557570 9066669084 11333336355 15111115140 22666672710 45333345420