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19955434657716 = 22343119770114387
BaseRepresentation
bin1001000100110001111001…
…00110000001011110110100
32121122201110112220112220000
410202120330212001132310
510103422212233021331
6110235222232111300
74126506162613155
oct442307446013664
977581415815800
1019955434657716
1163a4063699848
1222a35b6835530
13b19a3545a20c
144cdbc361592c
152491476a50e6
hex12263c9817b4

19955434657716 has 240 divisors, whose sum is σ = 54204597038592. Its totient is φ = 6394979808000.

The previous prime is 19955434657693. The next prime is 19955434657733. The reversal of 19955434657716 is 61775643455991.

19955434657716 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 5 + 4 + 3 + 46 + 577 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1387039075 + ... + 1387053461.

Almost surely, 219955434657716 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 19955434657716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102298519296).

19955434657716 is an abundant number, since it is smaller than the sum of its proper divisors (34249162380876).

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

19955434657716 is a wasteful number, since it uses less digits than its factorization.

19955434657716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15332 (or 15321 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 19955434657716 in words is "nineteen trillion, nine hundred fifty-five billion, four hundred thirty-four million, six hundred fifty-seven thousand, seven hundred sixteen".