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19931340435606 = 23237472085730529
BaseRepresentation
bin1001000100000101000000…
…11101110111000010010110
32121120102021101101020202100
410202002200131313002112
510103023341122414411
6110220155325222530
74124664124243515
oct442024035670226
977512241336670
1019931340435606
11639491a081096
12229a9b1701a46
13b17695791262
144cc97969067c
152486d72a1456
hex1220a0777096

19931340435606 has 96 divisors (see below), whose sum is σ = 45299030624640. Its totient is φ = 6326171394048.

The previous prime is 19931340435599. The next prime is 19931340435649. The reversal of 19931340435606 is 60653404313991.

It is a happy number.

19931340435606 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 1 + 34 + 0 + 43 + 560 + 6 = 666.

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, 652850550 + ... + 652881078.

It is an arithmetic number, because the mean of its divisors is an integer number (471864902340).

Almost surely, 219931340435606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19931340435606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649515312320).

19931340435606 is an abundant number, since it is smaller than the sum of its proper divisors (25367690189034).

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

19931340435606 is a wasteful number, since it uses less digits than its factorization.

19931340435606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51478 (or 51475 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 19931340435606 in words is "nineteen trillion, nine hundred thirty-one billion, three hundred forty million, four hundred thirty-five thousand, six hundred six".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 3478 5217 10434 15651 20857 30529 31302 41714 61058 62571 91587 125142 183174 187713 274761 375426 549522 771709 980279 1129573 1434863 1543418 1960558 2259146 2315127 2869726 2940837 3388719 4304589 4630254 5881674 6777438 6945381 8609178 8822511 10166157 12913767 13890762 17645022 20332314 25827534 36270323 53089931 72540646 106179862 108810969 159269793 217621938 318539586 326432907 477809379 636743353 652865814 955618758 1273486706 1910230059 3820460118 5730690177 11461380354 23559504061 29926937591 47119008122 59853875182 70678512183 89780812773 141357024366 179561625546 212035536549 269342438319 424071073098 538684876638 1107296690867 2214593381734 3321890072601 6643780145202 9965670217803 19931340435606