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5465424932352 = 29327111719103463
BaseRepresentation
bin100111110001000010010…
…1101100010111000000000
3201100111012212020102022200
41033202010231202320000
51204021142240313402
615342440452033200
71102602216261150
oct117420455427000
921314185212280
105465424932352
111817967988990
1274329b902800
1330850604c118
1414c756ab4760
159727cc6021c
hex4f884b62e00

5465424932352 has 1920 divisors, whose sum is σ = 22179106160640. Its totient is φ = 1250768977920.

The previous prime is 5465424932339. The next prime is 5465424932377. The reversal of 5465424932352 is 2532394245645.

5465424932352 is a `hidden beast` number, since 5 + 4 + 6 + 542 + 4 + 93 + 2 + 3 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11804373273 + ... + 11804373735.

It is an arithmetic number, because the mean of its divisors is an integer number (11551617792).

Almost surely, 25465424932352 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 5465424932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089553080320).

5465424932352 is an abundant number, since it is smaller than the sum of its proper divisors (16713681228288).

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

5465424932352 is a wasteful number, since it uses less digits than its factorization.

5465424932352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 5465424932352 in words is "five trillion, four hundred sixty-five billion, four hundred twenty-four million, nine hundred thirty-two thousand, three hundred fifty-two".