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20901130373760 = 27357131711362273
BaseRepresentation
bin1001100000010011011000…
…11100111000101010000000
32202000010110201020112011220
410300021230130320222000
510214421003333430020
6112241502521235040
74255025331561510
oct460115434705200
982003421215156
1020901130373760
11672913522841a
122416942332a80
13b87c77cc6950
1452389780b840
15263a46748240
hex13026c738a80

20901130373760 has 1024 divisors, whose sum is σ = 87589805829120. Its totient is φ = 4113706254336.

The previous prime is 20901130373749. The next prime is 20901130373801. The reversal of 20901130373760 is 6737303110902.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 335605984 + ... + 335668256.

It is an arithmetic number, because the mean of its divisors is an integer number (85536919755).

Almost surely, 220901130373760 is an apocalyptic number.

20901130373760 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 20901130373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43794902914560).

20901130373760 is an abundant number, since it is smaller than the sum of its proper divisors (66688675455360).

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

20901130373760 is a wasteful number, since it uses less digits than its factorization.

20901130373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62445 (or 62433 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The spelling of 20901130373760 in words is "twenty trillion, nine hundred one billion, one hundred thirty million, three hundred seventy-three thousand, seven hundred sixty".