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5416788821928 = 23311217318939769
BaseRepresentation
bin100111011010011000111…
…0001100000011110101000
3201011211200022211000110120
41032310301301200132220
51202222040414300203
615304234411243240
71066231035202641
oct116646161403650
921154608730416
105416788821928
1117a927a090300
12735987749520
13303a54a26863
1414a2615766c8
1595d82ecab53
hex4ed31c607a8

5416788821928 has 384 divisors, whose sum is σ = 16452180864000. Its totient is φ = 1478224281600.

The previous prime is 5416788821921. The next prime is 5416788821957. The reversal of 5416788821928 is 8291288876145.

It is a super-2 number, since 2×54167888219282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5416788821921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136186428 + ... + 136226196.

It is an arithmetic number, because the mean of its divisors is an integer number (42844221000).

Almost surely, 25416788821928 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 5416788821928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226090432000).

5416788821928 is an abundant number, since it is smaller than the sum of its proper divisors (11035392042072).

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

5416788821928 is a wasteful number, since it uses less digits than its factorization.

5416788821928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39937 (or 39922 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 69.

The spelling of 5416788821928 in words is "five trillion, four hundred sixteen billion, seven hundred eighty-eight million, eight hundred twenty-one thousand, nine hundred twenty-eight".