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10351442245350 = 2352595077230383
BaseRepresentation
bin1001011010100010001000…
…0010011011011011100110
31100122120212210211002212210
42112220202002123123212
52324044223203322400
634003215324024250
72115603250214433
oct226504202333346
940576783732783
1010351442245350
113331027316678
1211b2219092086
135a11a177715b
1427b02634cb8a
1512e3e88d3950
hex96a2209b6e6

10351442245350 has 96 divisors (see below), whose sum is σ = 26111943728640. Its totient is φ = 2713052154240.

The previous prime is 10351442245343. The next prime is 10351442245433. The reversal of 10351442245350 is 5354224415301.

It is a junction number, because it is equal to n+sod(n) for n = 10351442245299 and 10351442245308.

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, 44816259 + ... + 45046641.

It is an arithmetic number, because the mean of its divisors is an integer number (271999413840).

Almost surely, 210351442245350 is an apocalyptic number.

10351442245350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10351442245350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055971864320).

10351442245350 is an abundant number, since it is smaller than the sum of its proper divisors (15760501483290).

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

10351442245350 is a wasteful number, since it uses less digits than its factorization.

10351442245350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235534 (or 235529 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 10351442245350 in words is "ten trillion, three hundred fifty-one billion, four hundred forty-two million, two hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1770 2950 4425 5077 8850 10154 15231 25385 30462 50770 76155 126925 152310 230383 253850 299543 380775 460766 599086 691149 761550 898629 1151915 1382298 1497715 1797258 2303830 2995430 3455745 4493145 5759575 6911490 7488575 8986290 11519150 13592597 14977150 17278725 22465725 27185194 34557450 40777791 44931450 67962985 81555582 135925970 203888955 339814925 407777910 679629850 1019444775 1169654491 2038889550 2339308982 3508963473 5848272455 7017926946 11696544910 17544817365 29241362275 35089634730 58482724550 69009614969 87724086825 138019229938 175448173650 207028844907 345048074845 414057689814 690096149690 1035144224535 1725240374225 2070288449070 3450480748450 5175721122675 10351442245350