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354221028050 = 25273211532
BaseRepresentation
bin1010010011110010011…
…01111111001011010010
31020212022021100122022012
411021321031333023102
521300421040344200
6430421001542522
734406633026331
oct5117115771322
91225267318265
10354221028050
1112725159918a
1258797aa4a42
132753122a666
14132042bdd18
1593328d8a35
hex527937f2d2

354221028050 has 54 divisors (see below), whose sum is σ = 668579965677. Its totient is φ = 139626270720.

The previous prime is 354221028047. The next prime is 354221028079. The reversal of 354221028050 is 50820122453.

It can be written as a sum of positive squares in 14 ways, for example, as 19314606529 + 334906421521 = 138977^2 + 578711^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=420845.

It is a super-3 number, since 3×3542210280503 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354221027998 and 354221028016.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307216274 + ... + 307217426.

Almost surely, 2354221028050 is an apocalyptic number.

354221028050 is a deficient number, since it is larger than the sum of its proper divisors (314358937627).

354221028050 is an frugal number, since it uses more digits than its factorization.

354221028050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Multiplying 354221028050 by its sum of digits (32), we get a square (11335072897600 = 33667602).

The spelling of 354221028050 in words is "three hundred fifty-four billion, two hundred twenty-one million, twenty-eight thousand, fifty".

Divisors: 1 2 5 10 25 50 73 146 365 730 1153 1825 2306 3650 5329 5765 10658 11530 26645 28825 53290 57650 84169 133225 168338 266450 420845 841690 1329409 2104225 2658818 4208450 6144337 6647045 12288674 13294090 30721685 33235225 61443370 66470450 97046857 153608425 194093714 307216850 485234285 970468570 2426171425 4852342850 7084420561 14168841122 35422102805 70844205610 177110514025 354221028050