Search a number
-
+
20674749034368 = 27321113177382489
BaseRepresentation
bin1001011001101101101110…
…00100100110111110000000
32201012111010210210221110100
410230312313010212332000
510202213341223044433
6111545503143402400
74232462361130542
oct454666704467600
981174123727410
1020674749034368
1166511259274a0
12239aaa3753400
13b6c80b2273a0
1451693db2b692
1525cbe71e5b13
hex12cdb7126f80

20674749034368 has 384 divisors, whose sum is σ = 74006213954400. Its totient is φ = 5442960752640.

The previous prime is 20674749034363. The next prime is 20674749034439. The reversal of 20674749034368 is 86343094747602.

20674749034368 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 47 + 490 + 3 + 43 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20674749034363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890733 + ... + 6491756.

Almost surely, 220674749034368 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 20674749034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37003106977200).

20674749034368 is an abundant number, since it is smaller than the sum of its proper divisors (53331464920032).

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

20674749034368 is a wasteful number, since it uses less digits than its factorization.

20674749034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382550 (or 7382535 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 20674749034368 in words is "twenty trillion, six hundred seventy-four billion, seven hundred forty-nine million, thirty-four thousand, three hundred sixty-eight".