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2421897417984 = 283111635413251
BaseRepresentation
bin100011001111100100010…
…101011101010100000000
322120112100012021022100210
4203033210111131110000
5304140021214333414
65052334310514120
7336655606246602
oct43174425352400
98515305238323
102421897417984
11854136a54440
12331468665940
131474cb6b8875
1485312d2d172
1542eebedee59
hex233e455d500

2421897417984 has 288 divisors, whose sum is σ = 7090156297728. Its totient is φ = 727833600000.

The previous prime is 2421897417937. The next prime is 2421897418013. The reversal of 2421897417984 is 4897147981242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744968359 + ... + 744971609.

It is an arithmetic number, because the mean of its divisors is an integer number (24618598256).

Almost surely, 22421897417984 is an apocalyptic number.

2421897417984 is a gapful number since it is divisible by the number (24) 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 2421897417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545078148864).

2421897417984 is an abundant number, since it is smaller than the sum of its proper divisors (4668258879744).

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

2421897417984 is a wasteful number, since it uses less digits than its factorization.

2421897417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3971 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 2421897417984 in words is "two trillion, four hundred twenty-one billion, eight hundred ninety-seven million, four hundred seventeen thousand, nine hundred eighty-four".