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20626080106680 = 23345113269209431
BaseRepresentation
bin1001011000010011000100…
…01011011000100010111000
32201000211111222122020210000
410230021202023120202320
510200414203001403210
6111511253531353000
74226120331101226
oct454114213304270
981024458566700
1020626080106680
116632520554804
1223915805b2760
13b68053181719
145144440c9b16
1525b7e962cac0
hex12c2622d88b8

20626080106680 has 320 divisors, whose sum is σ = 70200391694400. Its totient is φ = 5431320760320.

The previous prime is 20626080106631. The next prime is 20626080106699. The reversal of 20626080106680 is 8660108062602.

20626080106680 is a `hidden beast` number, since 2 + 0 + 626 + 0 + 8 + 0 + 10 + 6 + 6 + 8 + 0 = 666.

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

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, 98381565 + ... + 98590995.

It is an arithmetic number, because the mean of its divisors is an integer number (219376224045).

Almost surely, 220626080106680 is an apocalyptic number.

20626080106680 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 20626080106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35100195847200).

20626080106680 is an abundant number, since it is smaller than the sum of its proper divisors (49574311587720).

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

20626080106680 is a wasteful number, since it uses less digits than its factorization.

20626080106680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209836 (or 209823 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20626080106680 in words is "twenty trillion, six hundred twenty-six billion, eighty million, one hundred six thousand, six hundred eighty".