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6481863740352 = 26371113233739631
BaseRepresentation
bin101111001010010110100…
…1011111000101111000000
3211221122211020011211000110
41132110231023320233000
51322144324104142402
621441421015151320
71236204424504140
oct136245513705700
924848736154013
106481863740352
112079a41110610
1288828b075540
13380310c7c590
14185a1c476920
15b391c79956c
hex5e52d2f8bc0

6481863740352 has 896 divisors, whose sum is σ = 24677650464768. Its totient is φ = 1446311116800.

The previous prime is 6481863740323. The next prime is 6481863740357. The reversal of 6481863740352 is 2530473681846.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6481863740292 and 6481863740301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481863740357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163535577 + ... + 163575207.

It is an arithmetic number, because the mean of its divisors is an integer number (27542020608).

Almost surely, 26481863740352 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 6481863740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338825232384).

6481863740352 is an abundant number, since it is smaller than the sum of its proper divisors (18195786724416).

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

6481863740352 is a wasteful number, since it uses less digits than its factorization.

6481863740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39737 (or 39727 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 6481863740352 in words is "six trillion, four hundred eighty-one billion, eight hundred sixty-three million, seven hundred forty thousand, three hundred fifty-two".