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20842343608320 = 212335139293121
BaseRepresentation
bin1001011110100101111000…
…11111001011000000000000
32201210111201202120102101000
410233102330133023000000
510212440104430431240
6112154501313012000
74250544463403013
oct457227437130000
981714652512330
1020842343608320
116706208676453
122407476854000
13b82569a15b40
14520abc13137a
15262255797430
hex12f4bc7cb000

20842343608320 has 832 divisors, whose sum is σ = 79908329289600. Its totient is φ = 5123258449920.

The previous prime is 20842343608283. The next prime is 20842343608321. The reversal of 20842343608320 is 2380634324802.

20842343608320 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 2 + 3 + 4 + 3 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20842343608321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6678096360 + ... + 6678099480.

Almost surely, 220842343608320 is an apocalyptic number.

20842343608320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20842343608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39954164644800).

20842343608320 is an abundant number, since it is smaller than the sum of its proper divisors (59065985681280).

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

20842343608320 is a wasteful number, since it uses less digits than its factorization.

20842343608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 20842343608320 in words is "twenty trillion, eight hundred forty-two billion, three hundred forty-three million, six hundred eight thousand, three hundred twenty".