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5329579711680 = 2632575933113537
BaseRepresentation
bin100110110001110001110…
…1101001001110011000000
3200212111120120111012100100
41031203203231021303000
51144304434401233210
615200213005322400
71060022645042130
oct115434355116300
920774516435310
105329579711680
111775297894a74
12720aa9566400
132c8767191c43
14145d4b1aaac0
159397bb895c0
hex4d8e3b49cc0

5329579711680 has 672 divisors, whose sum is σ = 21371359726080. Its totient is φ = 1193836216320.

The previous prime is 5329579711591. The next prime is 5329579711697. The reversal of 5329579711680 is 861179759235.

5329579711680 is a `hidden beast` number, since 53 + 2 + 9 + 579 + 7 + 1 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393697872 + ... + 393711408.

It is an arithmetic number, because the mean of its divisors is an integer number (31802618640).

Almost surely, 25329579711680 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 5329579711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685679863040).

5329579711680 is an abundant number, since it is smaller than the sum of its proper divisors (16041780014400).

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

5329579711680 is a wasteful number, since it uses less digits than its factorization.

5329579711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 5329579711680 in words is "five trillion, three hundred twenty-nine billion, five hundred seventy-nine million, seven hundred eleven thousand, six hundred eighty".