Search a number
-
+
2398608042660 = 2232573743245683
BaseRepresentation
bin100010111001111000001…
…011100010101010100100
322111022020010012110110100
4202321320023202222210
5303244322124331120
65033523314424100
7335202512651304
oct42717013425244
98438203173410
102398608042660
11845275788015
12328a48b92030
131452596ab8cb
1484143c35604
15425d75be490
hex22e782e2aa4

2398608042660 has 144 divisors (see below), whose sum is σ = 7385402553984. Its totient is φ = 630015128064.

The previous prime is 2398608042643. The next prime is 2398608042671. The reversal of 2398608042660 is 662408068932.

2398608042660 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 608 + 0 + 4 + 26 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2398608042597 and 2398608042606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9640179 + ... + 9885861.

It is an arithmetic number, because the mean of its divisors is an integer number (51287517736).

Almost surely, 22398608042660 is an apocalyptic number.

2398608042660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2398608042660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692701276992).

2398608042660 is an abundant number, since it is smaller than the sum of its proper divisors (4986794511324).

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

2398608042660 is a wasteful number, since it uses less digits than its factorization.

2398608042660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246514 (or 246509 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2398608042660 in words is "two trillion, three hundred ninety-eight billion, six hundred eight million, forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 743 876 1095 1314 1460 1486 2190 2229 2628 2972 3285 3715 4380 4458 6570 6687 7430 8916 11145 13140 13374 14860 22290 26748 33435 44580 54239 66870 108478 133740 162717 216956 245683 271195 325434 488151 491366 542390 650868 737049 813585 976302 982732 1084780 1228415 1474098 1627170 1952604 2211147 2440755 2456830 2948196 3254340 3685245 4422294 4881510 4913660 7370490 8844588 9763020 11055735 14740980 17934859 22111470 35869718 44222940 53804577 71739436 89674295 107609154 161413731 179348590 182542469 215218308 269022885 322827462 358697180 365084938 538045770 547627407 645654924 730169876 807068655 912712345 1076091540 1095254814 1614137310 1642882221 1825424690 2190509628 2738137035 3228274620 3285764442 3650849380 5476274070 6571528884 8214411105 10952548140 13325600237 16428822210 26651200474 32857644420 39976800711 53302400948 66628001185 79953601422 119930402133 133256002370 159907202844 199884003555 239860804266 266512004740 399768007110 479721608532 599652010665 799536014220 1199304021330 2398608042660