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64150392960 = 2734523173311
BaseRepresentation
bin111011101111101010…
…010101000010000000
320010120202021121120000
4323233222111002000
52022340000033320
645245325320000
74430464225503
oct735752250200
9203522247500
1064150392960
112522a251795
1210523a06000
136084587604
143167b9513a
151a06cd3c90
hexeefa95080

64150392960 has 640 divisors, whose sum is σ = 241208098560. Its totient is φ = 16216104960.

The previous prime is 64150392941. The next prime is 64150392973. The reversal of 64150392960 is 6929305146.

64150392960 is a `hidden beast` number, since 64 + 1 + 503 + 9 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 206271205 + ... + 206271515.

It is an arithmetic number, because the mean of its divisors is an integer number (376887654).

Almost surely, 264150392960 is an apocalyptic number.

64150392960 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 64150392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120604049280).

64150392960 is an abundant number, since it is smaller than the sum of its proper divisors (177057705600).

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

64150392960 is a wasteful number, since it uses less digits than its factorization.

64150392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 64150392960 in words is "sixty-four billion, one hundred fifty million, three hundred ninety-two thousand, nine hundred sixty".