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7434465540 = 22351943115131
BaseRepresentation
bin1101110110010000…
…01111000100000100
3201012010020222110120
412323020033010010
5110211210344130
63225414221540
7352142625435
oct67310170404
921163228416
107434465540
11317561aaa7
1215359548b0
13916323c48
1450753348c
152d7a39910
hex1bb20f104

7434465540 has 96 divisors (see below), whose sum is σ = 21964400640. Its totient is φ = 1873699200.

The previous prime is 7434465529. The next prime is 7434465547. The reversal of 7434465540 is 455644347.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7434465492 and 7434465501.

It is not an unprimeable number, because it can be changed into a prime (7434465547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483775 + ... + 498905.

It is an arithmetic number, because the mean of its divisors is an integer number (228795840).

Almost surely, 27434465540 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 7434465540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982200320).

7434465540 is an abundant number, since it is smaller than the sum of its proper divisors (14529935100).

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

7434465540 is a wasteful number, since it uses less digits than its factorization.

7434465540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The square root of 7434465540 is about 86223.3468383129. The cubic root of 7434465540 is about 1951.7158283723.

The spelling of 7434465540 in words is "seven billion, four hundred thirty-four million, four hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 431 570 862 1140 1293 1724 2155 2586 4310 5172 6465 8189 8620 12930 15131 16378 24567 25860 30262 32756 40945 45393 49134 60524 75655 81890 90786 98268 122835 151310 163780 181572 226965 245670 287489 302620 453930 491340 574978 862467 907860 1149956 1437445 1724934 2874890 3449868 4312335 5749780 6521461 8624670 13042922 17249340 19564383 26085844 32607305 39128766 65214610 78257532 97821915 123907759 130429220 195643830 247815518 371723277 391287660 495631036 619538795 743446554 1239077590 1486893108 1858616385 2478155180 3717232770 7434465540