Search a number
-
+
64541429760 = 212352345673
BaseRepresentation
bin111100000110111110…
…000001000000000000
320011121000002100012110
4330012332001000000
52024140101223020
645352214455320
74443253046463
oct740676010000
9204530070173
1064541429760
112540aa554a5
1210612964540
1361175ab232
1431a3aa52da
151a2b2c68e0
hexf06f81000

64541429760 has 208 divisors, whose sum is σ = 215490662784. Its totient is φ = 16462381056.

The previous prime is 64541429759. The next prime is 64541429791. The reversal of 64541429760 is 6792414546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390284 + ... + 1435956.

Almost surely, 264541429760 is an apocalyptic number.

64541429760 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 64541429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107745331392).

64541429760 is an abundant number, since it is smaller than the sum of its proper divisors (150949233024).

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

64541429760 is a wasteful number, since it uses less digits than its factorization.

64541429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45728 (or 45706 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 64541429760 in words is "sixty-four billion, five hundred forty-one million, four hundred twenty-nine thousand, seven hundred sixty".