Search a number
-
+
13660302516536 = 23131921991828381
BaseRepresentation
bin1100011011001000100101…
…1110101010000100111000
31210100220121222011211012002
43012302021132222010320
53242302244421012121
645015242323040132
72606632013364464
oct306621136520470
953326558154162
1013660302516536
114397335713515
12164755b810048
13781212942170
1435323adc94a4
1518a5085b1e0b
hexc6c897aa138

13660302516536 has 96 divisors (see below), whose sum is σ = 29257768764000. Its totient is φ = 5942907843840.

The previous prime is 13660302516521. The next prime is 13660302516551. The reversal of 13660302516536 is 63561520306631.

It is an interprime number because it is at equal distance from previous prime (13660302516521) and next prime (13660302516551).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6557066 + ... + 8385446.

It is an arithmetic number, because the mean of its divisors is an integer number (304768424625).

Almost surely, 213660302516536 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 13660302516536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628884382000).

13660302516536 is an abundant number, since it is smaller than the sum of its proper divisors (15597466247464).

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

13660302516536 is a wasteful number, since it uses less digits than its factorization.

13660302516536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828637 (or 1828614 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 13660302516536 in words is "thirteen trillion, six hundred sixty billion, three hundred two million, five hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 199 247 361 398 494 722 796 988 1444 1592 1976 2587 2888 3781 4693 5174 7562 9386 10348 15124 18772 20696 30248 37544 49153 71839 98306 143678 196612 287356 393224 574712 933907 1828381 1867814 3656762 3735628 7313524 7471256 14627048 23768953 34739239 47537906 69478478 95075812 138956956 190151624 277913912 363847819 451610107 660045541 727695638 903220214 1320091082 1455391276 1806440428 2640182164 2910782552 3612880856 4730021647 5280364328 6913108561 8580592033 9460043294 13826217122 17161184066 18920086588 27652434244 34322368132 37840173176 55304868488 68644736264 89870411293 131349062659 179740822586 262698125318 359481645172 525396250636 718963290344 1050792501272 1707537814567 3415075629134 6830151258268 13660302516536