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73468430424 = 233219121744129
BaseRepresentation
bin100010001101100001…
…1110100100001011000
321000122010210221221200
41010123003310201120
52200430404233144
653430111234200
75210421232464
oct1043303644130
9230563727850
1073468430424
11291810171a4
12122a4518960
136c0abac74c
1437ad5174a4
151d9ed83c69
hex111b0f4858

73468430424 has 96 divisors (see below), whose sum is σ = 209626326000. Its totient is φ = 23180967936.

The previous prime is 73468430423. The next prime is 73468430429. The reversal of 73468430424 is 42403486437.

It is a super-2 number, since 2×734684304242 (a number of 23 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 73468430424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73468430423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642792 + ... + 1686920.

Almost surely, 273468430424 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 73468430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104813163000).

73468430424 is an abundant number, since it is smaller than the sum of its proper divisors (136157895576).

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

73468430424 is a wasteful number, since it uses less digits than its factorization.

73468430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45377 (or 45370 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 73468430424 in words is "seventy-three billion, four hundred sixty-eight million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1217 1368 2434 3651 4868 7302 9736 10953 14604 21906 23123 29208 43812 44129 46246 69369 87624 88258 92492 132387 138738 176516 184984 208107 264774 277476 353032 397161 416214 529548 554952 794322 832428 838451 1059096 1588644 1664856 1676902 2515353 3177288 3353804 5030706 6707608 7546059 10061412 15092118 20122824 30184236 53704993 60368472 107409986 161114979 214819972 322229958 429639944 483344937 644459916 966689874 1020394867 1288919832 1933379748 2040789734 3061184601 3866759496 4081579468 6122369202 8163158936 9183553803 12244738404 18367107606 24489476808 36734215212 73468430424