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20898188136000 = 263353741932987
BaseRepresentation
bin1001100000001101111010…
…00101001000111001000000
32201222211212122220100202000
410300012331011020321000
510214343442130323000
6112240254535024000
74254562404143040
oct460067505107100
981884778810660
1020898188136000
11672796542a66a
122416260b0b000
13b878c9587966
14523698b5d720
152639232b4000
hex1301bd148e40

20898188136000 has 896 divisors, whose sum is σ = 87838229606400. Its totient is φ = 4765183948800.

The previous prime is 20898188135933. The next prime is 20898188136031. The reversal of 20898188136000 is 63188189802.

20898188136000 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 8 + 18 + 8 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 633511507 + ... + 633544493.

It is an arithmetic number, because the mean of its divisors is an integer number (98033738400).

Almost surely, 220898188136000 is an apocalyptic number.

20898188136000 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 20898188136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43919114803200).

20898188136000 is an abundant number, since it is smaller than the sum of its proper divisors (66940041470400).

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

20898188136000 is a wasteful number, since it uses less digits than its factorization.

20898188136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33449 (or 33423 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 20898188136000 in words is "twenty trillion, eight hundred ninety-eight billion, one hundred eighty-eight million, one hundred thirty-six thousand".