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5212516588048 = 24721122937411249
BaseRepresentation
bin100101111011010001000…
…1100110001101000010000
3200110022102020120100211201
41023312202030301220100
51140400213221304143
615030332544320544
71045410006645400
oct113664214615020
920408366510751
105212516588048
11172a6857a6600
12702279313154
132ba6cc58a453
14140403d18800
15908c995964d
hex4bda2331a10

5212516588048 has 720 divisors, whose sum is σ = 14065408350000. Its totient is φ = 1859803545600.

The previous prime is 5212516588031. The next prime is 5212516588049. The reversal of 5212516588048 is 8408856152125.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40203458064 + 5172313129984 = 200508^2 + 2274272^2 .

It is a super-4 number, since 4×52125165880484 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 5212516588048.

It is not an unprimeable number, because it can be changed into a prime (5212516588049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4173351328 + ... + 4173352576.

It is an arithmetic number, because the mean of its divisors is an integer number (19535289375).

Almost surely, 25212516588048 is an apocalyptic number.

5212516588048 is a gapful number since it is divisible by the number (58) 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 5212516588048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032704175000).

5212516588048 is an abundant number, since it is smaller than the sum of its proper divisors (8852891761952).

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

5212516588048 is a wasteful number, since it uses less digits than its factorization.

5212516588048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 55.

The spelling of 5212516588048 in words is "five trillion, two hundred twelve billion, five hundred sixteen million, five hundred eighty-eight thousand, forty-eight".