Search a number
-
+
3276000035640 = 2332567135820897
BaseRepresentation
bin101111101011000000110…
…100011000001100111000
3102121011221002000210101100
4233223000310120030320
5412133222002120030
610544550150051400
7455453222565033
oct57530064301470
912534832023340
103276000035640
111053386684592
1244aab1949b60
131a9c05375767
14b47b880c01a
155a339e1c360
hex2fac0d18338

3276000035640 has 96 divisors (see below), whose sum is σ = 10805910644880. Its totient is φ = 860561197056.

The previous prime is 3276000035597. The next prime is 3276000035653. The reversal of 3276000035640 is 465300006723.

3276000035640 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 0 + 0 + 0 + 0 + 3 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

3276000035640 is a modest number, since divided by 35640 gives 32760 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3276000035595 and 3276000035604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67886329 + ... + 67934568.

Almost surely, 23276000035640 is an apocalyptic number.

3276000035640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3276000035640 is an abundant number, since it is smaller than the sum of its proper divisors (7529910609240).

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

3276000035640 is a wasteful number, since it uses less digits than its factorization.

3276000035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820981 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3276000035640 in words is "three trillion, two hundred seventy-six billion, thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 135820897 271641794 407462691 543283588 679104485 814925382 1086567176 1222388073 1358208970 1629850764 2037313455 2444776146 2716417940 3259701528 4074626910 4889552292 5432835880 6111940365 8149253820 9100000099 9779104584 12223880730 16298507640 18200000198 24447761460 27300000297 36400000396 45500000495 48895522920 54600000594 72800000792 81900000891 91000000990 109200001188 136500001485 163800001782 182000001980 218400002376 273000002970 327600003564 364000003960 409500004455 546000005940 655200007128 819000008910 1092000011880 1638000017820 3276000035640