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255296590900 = 2252133115141953
BaseRepresentation
bin1110110111000011011…
…1001101010000110100
3220101222001120112220121
43231300313031100310
513140321411402100
6313140455541324
724305326134511
oct3556067152064
9811861515817
10255296590900
11992a82a73aa
124158a38a844
131b0c74c3950
14c4dc03a308
156992d0951a
hex3b70dcd434

255296590900 has 144 divisors (see below), whose sum is σ = 619947209728. Its totient is φ = 90616320000.

The previous prime is 255296590889. The next prime is 255296590921. The reversal of 255296590900 is 9095692552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6064324 + ... + 6106276.

Almost surely, 2255296590900 is an apocalyptic number.

255296590900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255296590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309973604864).

255296590900 is an abundant number, since it is smaller than the sum of its proper divisors (364650618828).

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

255296590900 is a wasteful number, since it uses less digits than its factorization.

255296590900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42162 (or 42155 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 52.

The spelling of 255296590900 in words is "two hundred fifty-five billion, two hundred ninety-six million, five hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 151 155 260 302 310 325 403 604 620 650 755 775 806 1300 1510 1550 1612 1963 2015 3020 3100 3775 3926 4030 4681 7550 7852 8060 9362 9815 10075 15100 18724 19630 20150 23405 39260 40300 41953 46810 49075 60853 83906 93620 98150 117025 121706 167812 196300 209765 234050 243412 304265 419530 468100 545389 608530 839060 1048825 1090778 1217060 1300543 1521325 2097650 2181556 2601086 2726945 3042650 4195300 5202172 5453890 6085300 6334903 6502715 10907780 12669806 13005430 13634725 16907059 25339612 26010860 27269450 31674515 32513575 33814118 54538900 63349030 65027150 67628236 82353739 84535295 126698060 130054300 158372575 164707478 169070590 196381993 316745150 329414956 338141180 392763986 411768695 422676475 633490300 785527972 823537390 845352950 981909965 1647074780 1690705900 1963819930 2058843475 2552965909 3927639860 4117686950 4909549825 5105931818 8235373900 9819099650 10211863636 12764829545 19638199300 25529659090 51059318180 63824147725 127648295450 255296590900