Search a number
-
+
1027690956040 = 235723159579341
BaseRepresentation
bin11101111010001110010…
…01111000010100001000
310122020122112211202000111
432331013021320110020
5113314202341043130
62104040435444104
7134151065665210
oct16750711702410
93566575752014
101027690956040
11366928831031
1214720b756634
1375bac170128
1437a51d4b240
151baec7d402a
hexef47278508

1027690956040 has 64 divisors (see below), whose sum is σ = 2757531029760. Its totient is φ = 337031566080.

The previous prime is 1027690956023. The next prime is 1027690956049. The reversal of 1027690956040 is 406590967201.

It is a happy number.

It is a super-2 number, since 2×10276909560402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1027690956049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79783231 + ... + 79796110.

It is an arithmetic number, because the mean of its divisors is an integer number (43086422340).

Almost surely, 21027690956040 is an apocalyptic number.

1027690956040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027690956040 is an abundant number, since it is smaller than the sum of its proper divisors (1729840073720).

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

1027690956040 is a wasteful number, since it uses less digits than its factorization.

1027690956040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159579382 (or 159579378 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 1027690956040 in words is "one trillion, twenty-seven billion, six hundred ninety million, nine hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 159579341 319158682 638317364 797896705 1117055387 1276634728 1595793410 2234110774 3191586820 3670324843 4468221548 5585276935 6383173640 7340649686 8936443096 11170553870 14681299372 18351624215 22341107740 25692273901 29362598744 36703248430 44682215480 51384547802 73406496860 102769095604 128461369505 146812993720 205538191208 256922739010 513845478020 1027690956040