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10354543500032 = 281031221132159
BaseRepresentation
bin1001011010101101101011…
…1000110001101100000000
31100122212212221101011112022
42112223122320301230000
52324122101114000112
634004451150421012
72116043145356324
oct226533270615400
940585787334468
1010354543500032
113332378955176
1211b2943801768
135a15771212b4
1427b23c191984
1512e52acc8d72
hex96adae31b00

10354543500032 has 72 divisors (see below), whose sum is σ = 20871664020480. Its totient is φ = 5126427694080.

The previous prime is 10354543500011. The next prime is 10354543500083. The reversal of 10354543500032 is 23000534545301.

It is a happy number.

It is a super-3 number, since 3×103545435000323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10354543499965 and 10354543500001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321963569 + ... + 321995727.

Almost surely, 210354543500032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354543500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435832010240).

10354543500032 is an abundant number, since it is smaller than the sum of its proper divisors (10517120520448).

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

10354543500032 is a wasteful number, since it uses less digits than its factorization.

10354543500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44489 (or 44475 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 10354543500032 in words is "ten trillion, three hundred fifty-four billion, five hundred forty-three million, five hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1648 3296 6592 12211 13184 24422 26368 32159 48844 64318 97688 128636 195376 257272 390752 514544 781504 1029088 1257733 1563008 2058176 2515466 3126016 3312377 4116352 5030932 6624754 8232704 10061864 13249508 20123728 26499016 40247456 52998032 80494912 105996064 160989824 211992128 321979648 392693549 423984256 785387098 847968512 1570774196 3141548392 6283096784 12566193568 25132387136 40447435547 50264774272 80894871094 100529548544 161789742188 323579484376 647158968752 1294317937504 2588635875008 5177271750016 10354543500032