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20474491248640 = 2135111319223421
BaseRepresentation
bin1001010011111000101101…
…10001110010000000000000
32200111100020111110101102101
410221330112301302000000
510140423224224424030
6111313503524200144
74212142660053622
oct451742661620000
980440214411371
1020474491248640
1165842015a5040
122368115839054
13b5697569aaa0
1450ad83704c12
152578c63007ca
hex129f16c72000

20474491248640 has 1344 divisors, whose sum is σ = 63723941713152. Its totient is φ = 6212970086400.

The previous prime is 20474491248593. The next prime is 20474491248641. The reversal of 20474491248640 is 4684219447402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (20474491248641) 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 95 ways as a sum of consecutive naturals, for example, 48632995630 + ... + 48632996050.

It is an arithmetic number, because the mean of its divisors is an integer number (47413647108).

Almost surely, 220474491248640 is an apocalyptic number.

20474491248640 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 20474491248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31861970856576).

20474491248640 is an abundant number, since it is smaller than the sum of its proper divisors (43249450464512).

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

20474491248640 is a wasteful number, since it uses less digits than its factorization.

20474491248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 20474491248640 in words is "twenty trillion, four hundred seventy-four billion, four hundred ninety-one million, two hundred forty-eight thousand, six hundred forty".