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64265149440 = 210335617621
BaseRepresentation
bin111011110110100000…
…000101110000000000
320010212202012211212000
4323312200011300000
52023103334240230
645304545104000
74433356520502
oct736640056000
9203782184760
1064265149440
1125289001a58
1210556328000
1360a229695b
143179107d72
151a11e00b60
hexef6805c00

64265149440 has 352 divisors, whose sum is σ = 232161241920. Its totient is φ = 16854220800.

The previous prime is 64265149427. The next prime is 64265149463. The reversal of 64265149440 is 4494156246.

64265149440 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 514 + 94 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8428830 + ... + 8436450.

Almost surely, 264265149440 is an apocalyptic number.

64265149440 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 64265149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116080620960).

64265149440 is an abundant number, since it is smaller than the sum of its proper divisors (167896092480).

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

64265149440 is a wasteful number, since it uses less digits than its factorization.

64265149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64265149440 in words is "sixty-four billion, two hundred sixty-five million, one hundred forty-nine thousand, four hundred forty".