Search a number
-
+
3045233653650 = 2325230757220021
BaseRepresentation
bin101100010100000110000…
…100011111011110010010
3101210010021120100222001200
4230110012010133132102
5344343114303404100
610250543325412030
7433003504653246
oct54240604373622
911703246328050
103045233653650
11a74527010211
1241222a70a016
13191219c7c336
14a75665c8426
1554330937e00
hex2c50611f792

3045233653650 has 72 divisors (see below), whose sum is σ = 8181830941284. Its totient is φ = 812032214400.

The previous prime is 3045233653643. The next prime is 3045233653699. The reversal of 3045233653650 is 563563325403.

It is a happy number.

3045233653650 is a `hidden beast` number, since 3 + 0 + 4 + 523 + 3 + 65 + 3 + 65 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1408259263401 + 1636974390249 = 1186701^2 + 1279443^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3045233653596 and 3045233653605.

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 35 ways as a sum of consecutive naturals, for example, 13730640 + ... + 13950660.

Almost surely, 23045233653650 is an apocalyptic number.

3045233653650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3045233653650 is an abundant number, since it is smaller than the sum of its proper divisors (5136597287634).

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

3045233653650 is a wasteful number, since it uses less digits than its factorization.

3045233653650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250796 (or 250788 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

The spelling of 3045233653650 in words is "three trillion, forty-five billion, two hundred thirty-three million, six hundred fifty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 30757 61514 92271 153785 184542 220021 276813 307570 440042 461355 553626 660063 768925 922710 1100105 1320126 1384065 1537850 1980189 2200210 2306775 2768130 3300315 3960378 4613550 5500525 6600630 6920325 9900945 11001050 13840650 16501575 19801890 33003150 49504725 99009450 6767185897 13534371794 20301557691 33835929485 40603115382 60904673073 67671858970 101507788455 121809346146 169179647425 203015576910 304523365365 338359294850 507538942275 609046730730 1015077884550 1522616826825 3045233653650