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6428511684 = 223272232832
BaseRepresentation
bin1011111110010101…
…10100110111000100
3121121000101020012100
411333022310313010
5101131144333214
62541521152100
7315206306400
oct57712646704
917530336170
106428511684
1127a97aaa81
1212b4a8b630
137b5ab0a8a
1444dab6100
1527957e309
hex17f2b4dc4

6428511684 has 243 divisors, whose sum is σ = 20001429903. Its totient is φ = 1735693344.

The previous prime is 6428511641. The next prime is 6428511689. The reversal of 6428511684 is 4861158246.

It is a happy number.

The square root of 6428511684 is 80178.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (6428511689) 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 80 ways as a sum of consecutive naturals, for example, 77451907 + ... + 77451989.

Almost surely, 26428511684 is an apocalyptic number.

6428511684 is the 80178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6428511684

6428511684 is an abundant number, since it is smaller than the sum of its proper divisors (13572918219).

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

6428511684 is a wasteful number, since it uses less digits than its factorization.

6428511684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The cubic root of 6428511684 is about 1859.3885225499.

The spelling of 6428511684 in words is "six billion, four hundred twenty-eight million, five hundred eleven thousand, six hundred eighty-four".