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355535430002250 = 23531954374588901
BaseRepresentation
bin101000011010110111000101…
…1000000101010011001001010
31201121211212002102020021210020
41100311232023000222121022
5333100043030040033000
63300054415521201310
7134613405251666151
oct12065561300523112
91647755072207706
10355535430002250
11a33148024a0663
1233a61194190236
131234cb02378094
1463b201428a598
152b1845bee1ba0
hex1435b8b02a64a

355535430002250 has 128 divisors (see below), whose sum is σ = 934294573405440. Its totient is φ = 89802937440000.

The previous prime is 355535430002209. The next prime is 355535430002257. The reversal of 355535430002250 is 52200034535553.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (355535430002257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75182800 + ... + 79771700.

It is an arithmetic number, because the mean of its divisors is an integer number (7299176354730).

Almost surely, 2355535430002250 is an apocalyptic number.

355535430002250 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 355535430002250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467147286702720).

355535430002250 is an abundant number, since it is smaller than the sum of its proper divisors (578759143403190).

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

355535430002250 is a wasteful number, since it uses less digits than its factorization.

355535430002250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594377 (or 4594367 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 42.

The spelling of 355535430002250 in words is "three hundred fifty-five trillion, five hundred thirty-five billion, four hundred thirty million, two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 150 190 250 285 375 475 570 750 950 1425 2375 2850 4750 5437 7125 10874 14250 16311 27185 32622 54370 81555 103303 135925 163110 206606 271850 309909 407775 516515 619818 679625 815550 1033030 1359250 1549545 2038875 2582575 3099090 4077750 4588901 5165150 7747725 9177802 12912875 13766703 15495450 22944505 25825750 27533406 38738625 45889010 68833515 77477250 87189119 114722525 137667030 174378238 229445050 261567357 344167575 435945595 523134714 573612625 688335150 871891190 1147225250 1307836785 1720837875 2179727975 2615673570 3441675750 4359455950 6539183925 10898639875 13078367850 21797279750 24949854737 32695919625 49899709474 65391839250 74849564211 124749273685 149699128422 249498547370 374247821055 474047240003 623746368425 748495642110 948094480006 1247492736850 1422141720009 1871239105275 2370236200015 2844283440018 3118731842125 3742478210550 4740472400030 6237463684250 7110708600045 9356195526375 11851181000075 14221417200090 18712391052750 23702362000150 35553543000225 59255905000375 71107086000450 118511810000750 177767715001125 355535430002250