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5194029754368 = 211347213219199
BaseRepresentation
bin100101110010101010001…
…0011000110100000000000
3200101112200212022220120000
41023211110103012200000
51140044333104114433
615014034311320000
71044153620314200
oct113452423064000
920345625286500
105194029754368
11172285942a864
126ba77a080000
132b8a44534900
1413d56c9a2400
1590196989113
hex4b9544c6800

5194029754368 has 2160 divisors, whose sum is σ = 20674033380000. Its totient is φ = 1291235033088.

The previous prime is 5194029754367. The next prime is 5194029754429. The reversal of 5194029754368 is 8634579204915.

5194029754368 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 0 + 29 + 7 + 543 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5194029754367) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26100651933 + ... + 26100652131.

It is an arithmetic number, because the mean of its divisors is an integer number (9571311750).

It is a 1-persistent number, because it is pandigital, but 2⋅5194029754368 = 10388059508736 is not.

Almost surely, 25194029754368 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 5194029754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337016690000).

5194029754368 is an abundant number, since it is smaller than the sum of its proper divisors (15480003625632).

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

5194029754368 is a wasteful number, since it uses less digits than its factorization.

5194029754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5194029754368 in words is "five trillion, one hundred ninety-four billion, twenty-nine million, seven hundred fifty-four thousand, three hundred sixty-eight".