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3148353160900 = 2252296117797361
BaseRepresentation
bin101101110100001000011…
…110001100011011000100
3102010222110010220200202221
4231310020132030123010
5403040311402122100
610410200010342124
7443314061214133
oct55641036143304
912128403820687
103148353160900
111004233311282
1242a20912a944
1319ab71b56b4c
14ac549a7d91a
1556d6897101a
hex2dd0878c6c4

3148353160900 has 72 divisors (see below), whose sum is σ = 7183371250440. Its totient is φ = 1195982592000.

The previous prime is 3148353160859. The next prime is 3148353160951. The reversal of 3148353160900 is 90613538413.

It can be written as a sum of positive squares in 12 ways, for example, as 2095447324356 + 1052905836544 = 1447566^2 + 1026112^2 .

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, 8721781 + ... + 9075580.

It is an arithmetic number, because the mean of its divisors is an integer number (99769045145).

Almost surely, 23148353160900 is an apocalyptic number.

It is an amenable number.

3148353160900 is an abundant number, since it is smaller than the sum of its proper divisors (4035018089540).

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

3148353160900 is a wasteful number, since it uses less digits than its factorization.

3148353160900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797465 (or 17797458 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 3148353160900 in words is "three trillion, one hundred forty-eight billion, three hundred fifty-three million, one hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 580 610 725 1220 1450 1525 1769 2900 3050 3538 6100 7076 8845 17690 35380 44225 88450 176900 17797361 35594722 71189444 88986805 177973610 355947220 444934025 516123469 889868050 1032246938 1085639021 1779736100 2064493876 2171278042 2580617345 4342556084 5161234690 5428195105 10322469380 10856390210 12903086725 21712780420 25806173450 27140975525 31483531609 51612346900 54281951050 62967063218 108563902100 125934126436 157417658045 314835316090 629670632180 787088290225 1574176580450 3148353160900