Search a number
-
+
2612420103450 = 2352229268928283
BaseRepresentation
bin100110000001000000010…
…111110100110100011010
3100020202010001022112101210
4212001000113310310122
5320300214021302300
65320043525123550
7356512130331153
oct46010027646432
910222101275353
102612420103450
11917a15051993
1236237a2595b6
1315c4723b6201
149062846a92a
1547e4d401050
hex260405f4d1a

2612420103450 has 96 divisors (see below), whose sum is σ = 6509743617600. Its totient is φ = 693320785920.

The previous prime is 2612420103431. The next prime is 2612420103467. The reversal of 2612420103450 is 543010242162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92353009 + ... + 92381291.

It is an arithmetic number, because the mean of its divisors is an integer number (67809829350).

Almost surely, 22612420103450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612420103450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254871808800).

2612420103450 is an abundant number, since it is smaller than the sum of its proper divisors (3897323514150).

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

2612420103450 is a wasteful number, since it uses less digits than its factorization.

2612420103450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31216 (or 31211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2612420103450 in words is "two trillion, six hundred twelve billion, four hundred twenty million, one hundred three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 229 458 687 1145 1374 2290 2689 3435 5378 5725 6870 8067 11450 13445 16134 17175 26890 28283 34350 40335 56566 67225 80670 84849 134450 141415 169698 201675 282830 403350 424245 615781 707075 848490 1231562 1414150 1847343 2121225 3078905 3694686 4242450 6157810 6476807 9236715 12953614 15394525 18473430 19430421 30789050 32384035 38860842 46183575 64768070 76052987 92367150 97152105 152105974 161920175 194304210 228158961 323840350 380264935 456317922 485760525 760529870 971521050 1140794805 1901324675 2281589610 3802649350 5703974025 11407948050 17416134023 34832268046 52248402069 87080670115 104496804138 174161340230 261242010345 435403350575 522484020690 870806701150 1306210051725 2612420103450