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64513602342 = 23272694634111
BaseRepresentation
bin111100000101010011…
…110111001100100110
320011112001201120011100
4330011103313030212
52024110440233332
645345342220530
74442464400130
oct740523671446
9204461646140
1064513602342
11253a6279332
1210605584746
1361118b70c7
1431a0100050
151a28b2b67c
hexf054f7326

64513602342 has 96 divisors (see below), whose sum is σ = 160727224320. Its totient is φ = 18319815360.

The previous prime is 64513602247. The next prime is 64513602343. The reversal of 64513602342 is 24320631546.

64513602342 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 3 + 602 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64513602297 and 64513602306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64513602343) 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 47 ways as a sum of consecutive naturals, for example, 15690867 + ... + 15694977.

It is an arithmetic number, because the mean of its divisors is an integer number (1674241920).

Almost surely, 264513602342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64513602342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80363612160).

64513602342 is an abundant number, since it is smaller than the sum of its proper divisors (96213621978).

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

64513602342 is a wasteful number, since it uses less digits than its factorization.

64513602342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 64513602342 in words is "sixty-four billion, five hundred thirteen million, six hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269 463 538 807 926 1389 1614 1883 2421 2778 3241 3766 4111 4167 4842 5649 6482 8222 8334 9723 11298 12333 16947 19446 24666 28777 29169 33894 36999 57554 58338 73998 86331 124547 172662 249094 258993 373641 517986 747282 871829 1105859 1120923 1743658 1903393 2211718 2241846 2615487 3317577 3806786 5230974 5710179 6635154 7741013 7846461 9952731 11420358 13323751 15482026 15692922 17130537 19905462 23223039 26647502 34261074 39971253 46446078 69669117 79942506 119913759 139338234 239827518 512012717 1024025434 1536038151 3072076302 3584089019 4608114453 7168178038 9216228906 10752267057 21504534114 32256801171 64513602342