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5299674631680 = 2935111323209809
BaseRepresentation
bin100110100011110110100…
…1110010100111000000000
3200202122101102210201201210
41031013231032110320000
51143312213201203210
615134345323530120
71054613610050022
oct115075516247000
920678342721653
105299674631680
111763641192820
12717142389940
132c59ac682330
141447115d0012
1592ccb55ee20
hex4d1ed394e00

5299674631680 has 640 divisors, whose sum is σ = 20769860643840. Its totient is φ = 1134373109760.

The previous prime is 5299674631679. The next prime is 5299674631681. The reversal of 5299674631680 is 861364769925.

It is an interprime number because it is at equal distance from previous prime (5299674631679) and next prime (5299674631681).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5299674631681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25154616 + ... + 25364424.

It is an arithmetic number, because the mean of its divisors is an integer number (32452907256).

It is a 1-persistent number, because it is pandigital, but 2⋅5299674631680 = 10599349263360 is not.

Almost surely, 25299674631680 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 5299674631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384930321920).

5299674631680 is an abundant number, since it is smaller than the sum of its proper divisors (15470186012160).

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

5299674631680 is a wasteful number, since it uses less digits than its factorization.

5299674631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209882 (or 209866 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 5299674631680 in words is "five trillion, two hundred ninety-nine billion, six hundred seventy-four million, six hundred thirty-one thousand, six hundred eighty".