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20046293538048 = 28352915173589
BaseRepresentation
bin1001000111011011001000…
…01101001001010100000000
32121222101222122220220100000
410203231210031021110000
510111414302121204143
6110345050133200000
74136203561425051
oct443554415112400
977871878826300
1020046293538048
116429649107398
1222b9133190000
13b254851a97bb
144d4362608728
1524b6b4139bd3
hex123b64349500

20046293538048 has 432 divisors, whose sum is σ = 62417436681600. Its totient is φ = 6408867225600.

The previous prime is 20046293538043. The next prime is 20046293538067. The reversal of 20046293538048 is 84083539264002.

20046293538048 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 62 + 9 + 3 + 538 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×200462935380482 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20046293537985 and 20046293538003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20046293538043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 272372038 + ... + 272445626.

Almost surely, 220046293538048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20046293538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208718340800).

20046293538048 is an abundant number, since it is smaller than the sum of its proper divisors (42371143143552).

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

20046293538048 is an equidigital number, since it uses as much as digits as its factorization.

20046293538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73800 (or 73774 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 20046293538048 in words is "twenty trillion, forty-six billion, two hundred ninety-three million, five hundred thirty-eight thousand, forty-eight".