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20626010889120 = 2532571319374143127
BaseRepresentation
bin1001011000010010111100…
…00011010101101110100000
32201000211100011101122010200
410230021132003111232200
510200414032241422440
6111511243020025200
74226115530543610
oct454113603255640
981024304348120
1020626010889120
11663249547860a
122391561392200
13b68041a280a0
14514438c2ca40
1525b7e3508c30
hex12c25e0d5ba0

20626010889120 has 4608 divisors, whose sum is σ = 98941548625920. Its totient is φ = 3792438558720.

The previous prime is 20626010889119. The next prime is 20626010889173. The reversal of 20626010889120 is 2198801062602.

20626010889120 is a `hidden beast` number, since 2 + 0 + 626 + 0 + 1 + 0 + 8 + 8 + 9 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 162409534497 + ... + 162409534623.

It is an arithmetic number, because the mean of its divisors is an integer number (21471690240).

Almost surely, 220626010889120 is an apocalyptic number.

20626010889120 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 20626010889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49470774312960).

20626010889120 is an abundant number, since it is smaller than the sum of its proper divisors (78315537736800).

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

20626010889120 is a wasteful number, since it uses less digits than its factorization.

20626010889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 20626010889120 in words is "twenty trillion, six hundred twenty-six billion, ten million, eight hundred eighty-nine thousand, one hundred twenty".