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64471680 = 2733571341
BaseRepresentation
bin1111010111110…
…0001010000000
311111022111112000
43311330022000
5113001043210
610221504000
71412000040
oct365741200
9144274460
1064471680
1133435589
1219712000
1310484430
1487c3720
1559d7ac0
hex3d7c280

64471680 has 512 divisors, whose sum is σ = 287884800. Its totient is φ = 13271040.

The previous prime is 64471651. The next prime is 64471697. The reversal of 64471680 is 8617446.

64471680 is a `hidden beast` number, since 644 + 7 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572460 + ... + 1572500.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 264471680 is an apocalyptic number.

64471680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

64471680 is an abundant number, since it is smaller than the sum of its proper divisors (223413120).

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

64471680 is a wasteful number, since it uses less digits than its factorization.

64471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64471680 is about 8029.4258823405. The cubic root of 64471680 is about 400.9802624183.

The spelling of 64471680 in words is "sixty-four million, four hundred seventy-one thousand, six hundred eighty".