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10347602680830 = 2354320533907159
BaseRepresentation
bin1001011010010011110100…
…1011101001101111111110
31100122012222020000000112110
42112210331023221233332
52324013342241241310
634001342324514450
72115406145362662
oct226447513515776
940565866000473
1010347602680830
11332a436a51a58
1211b152724ba26
135a0a0c16949c
1427ab8043c8a2
1512e27179ed20
hex9693d2e9bfe

10347602680830 has 64 divisors (see below), whose sum is σ = 25424171435520. Its totient is φ = 2693876040576.

The previous prime is 10347602680823. The next prime is 10347602680841. The reversal of 10347602680830 is 3808620674301.

It is a self number, because there is not a number n which added to its sum of digits gives 10347602680830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694791 + ... + 4601949.

It is an arithmetic number, because the mean of its divisors is an integer number (397252678680).

Almost surely, 210347602680830 is an apocalyptic number.

10347602680830 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 10347602680830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712085717760).

10347602680830 is an abundant number, since it is smaller than the sum of its proper divisors (15076568754690).

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

10347602680830 is a wasteful number, since it uses less digits than its factorization.

10347602680830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909265.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10347602680830 in words is "ten trillion, three hundred forty-seven billion, six hundred two million, six hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 2053 4106 6159 10265 12318 20530 30795 61590 88279 176558 264837 441395 529674 882790 1324185 2648370 3907159 7814318 11721477 19535795 23442954 39071590 58607385 117214770 168007837 336015674 504023511 840039185 1008047022 1680078370 2520117555 5040235110 8021397427 16042794854 24064192281 40106987135 48128384562 80213974270 120320961405 240641922810 344920089361 689840178722 1034760268083 1724600446805 2069520536166 3449200893610 5173801340415 10347602680830