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5155520299776 = 283371123421163
BaseRepresentation
bin100101100000101110011…
…1101001100001100000000
3200020212022001222220222000
41023001130331030030000
51133432001144043101
614544225140144000
71041321412332630
oct113013475141400
920225261886860
105155520299776
111708497894630
126b3211398000
132b52182140a2
1413b7583566c0
158e190c80486
hex4b05cf4c300

5155520299776 has 576 divisors, whose sum is σ = 19834196336640. Its totient is φ = 1280871567360.

The previous prime is 5155520299771. The next prime is 5155520299793. The reversal of 5155520299776 is 6779920255515.

5155520299776 is a `hidden beast` number, since 5 + 1 + 5 + 552 + 0 + 2 + 9 + 9 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×51555202997762 (a number of 26 digits) contains 22 as substring.

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 (5155520299771) 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 63 ways as a sum of consecutive naturals, for example, 12030571 + ... + 12451733.

It is an arithmetic number, because the mean of its divisors is an integer number (34434368640).

Almost surely, 25155520299776 is an apocalyptic number.

5155520299776 is a gapful number since it is divisible by the number (56) 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 5155520299776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917098168320).

5155520299776 is an abundant number, since it is smaller than the sum of its proper divisors (14678676036864).

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

5155520299776 is a wasteful number, since it uses less digits than its factorization.

5155520299776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421229 (or 421209 counting only the distinct ones).

The product of its (nonzero) digits is 59535000, while the sum is 63.

The spelling of 5155520299776 in words is "five trillion, one hundred fifty-five billion, five hundred twenty million, two hundred ninety-nine thousand, seven hundred seventy-six".