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5145735660 = 2235132683743
BaseRepresentation
bin1001100101011010…
…11011000111101100
3111021121121110022020
410302231123013230
541014302020120
62210334550140
7241342013532
oct46255330754
914247543266
105145735660
1122006a73aa
12bb7368350
136400c6800
1436b59a152
15201b42640
hex132b5b1ec

5145735660 has 144 divisors (see below), whose sum is σ = 15645498624. Its totient is φ = 1263085824.

The previous prime is 5145735649. The next prime is 5145735671. The reversal of 5145735660 is 665375415.

It is an interprime number because it is at equal distance from previous prime (5145735649) and next prime (5145735671).

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, 6925249 + ... + 6925991.

It is an arithmetic number, because the mean of its divisors is an integer number (108649296).

Almost surely, 25145735660 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 5145735660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822749312).

5145735660 is an abundant number, since it is smaller than the sum of its proper divisors (10499762964).

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

5145735660 is a wasteful number, since it uses less digits than its factorization.

5145735660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 5145735660 is about 71733.7832544750. The cubic root of 5145735660 is about 1726.4307289977.

The spelling of 5145735660 in words is "five billion, one hundred forty-five million, seven hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 683 743 780 845 1014 1366 1486 1690 2028 2049 2229 2535 2732 2972 3380 3415 3715 4098 4458 5070 6830 7430 8196 8879 8916 9659 10140 10245 11145 13660 14860 17758 19318 20490 22290 26637 28977 35516 38636 40980 44395 44580 48295 53274 57954 88790 96590 106548 115427 115908 125567 133185 144885 177580 193180 230854 251134 266370 289770 346281 376701 461708 502268 507469 532740 577135 579540 627835 692562 753402 1014938 1154270 1255670 1385124 1506804 1522407 1731405 1883505 2029876 2308540 2511340 2537345 3044814 3462810 3767010 5074690 6089628 6597097 6925620 7534020 7612035 10149380 13194194 15224070 19791291 26388388 30448140 32985485 39582582 65970970 79165164 85762261 98956455 131941940 171524522 197912910 257286783 343049044 395825820 428811305 514573566 857622610 1029147132 1286433915 1715245220 2572867830 5145735660