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354445850550 = 2352112103189599
BaseRepresentation
bin1010010100001101001…
…11100111011110110110
31020212212221101210210110
411022012213213132312
521301401114204200
6430455152403450
734415333006451
oct5120647473666
91225787353713
10354445850550
11127357495700
125883b246586
132756899611c
14132260c4498
1593474e7b50
hex52869e77b6

354445850550 has 144 divisors (see below), whose sum is σ = 975587558400. Its totient is φ = 85091582400.

The previous prime is 354445850533. The next prime is 354445850569. The reversal of 354445850550 is 55058544453.

It is a super-2 number, since 2×3544458505502 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354445850550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1774651 + ... + 1964249.

It is an arithmetic number, because the mean of its divisors is an integer number (6774913600).

Almost surely, 2354445850550 is an apocalyptic number.

354445850550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354445850550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487793779200).

354445850550 is an abundant number, since it is smaller than the sum of its proper divisors (621141707850).

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

354445850550 is a wasteful number, since it uses less digits than its factorization.

354445850550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189739 (or 189723 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 354445850550 in words is "three hundred fifty-four billion, four hundred forty-five million, eight hundred fifty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 103 110 121 150 165 206 242 275 309 330 363 515 550 605 618 726 825 1030 1133 1210 1545 1650 1815 2266 2575 3025 3090 3399 3630 5150 5665 6050 6798 7725 9075 11330 12463 15450 16995 18150 24926 28325 33990 37389 56650 62315 74778 84975 124630 169950 186945 189599 311575 373890 379198 568797 623150 934725 947995 1137594 1869450 1895990 2085589 2843985 4171178 4739975 5687970 6256767 9479950 10427945 12513534 14219925 19528697 20855890 22941479 28439850 31283835 39057394 45882958 52139725 58586091 62567670 68824437 97643485 104279450 114707395 117172182 137648874 156419175 195286970 214815667 229414790 292930455 312838350 344122185 429631334 488217425 573536975 585860910 644447001 688244370 976434850 1074078335 1147073950 1288894002 1464652275 1720610925 2148156670 2362972337 2929304550 3222235005 3441221850 4725944674 5370391675 6444470010 7088917011 10740783350 11814861685 14177834022 16111175025 23629723370 32222350050 35444585055 59074308425 70889170110 118148616850 177222925275 354445850550