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64213725056 = 2713411019319
BaseRepresentation
bin111011110011011011…
…111010111110000000
320010202011110012212012
4323303123322332000
52023002203200211
645255510552052
74432163441255
oct736333727600
9203664405765
1064213725056
1125261a79068
1210541068628
136094730120
14317235d42c
151a0c643d8b
hexef36faf80

64213725056 has 128 divisors (see below), whose sum is σ = 142538961600. Its totient is φ = 28624896000.

The previous prime is 64213724959. The next prime is 64213725089. The reversal of 64213725056 is 65052731246.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 6885965 + ... + 6895283.

Almost surely, 264213725056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64213725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71269480800).

64213725056 is an abundant number, since it is smaller than the sum of its proper divisors (78325236544).

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

64213725056 is a wasteful number, since it uses less digits than its factorization.

64213725056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 64213725056 in words is "sixty-four billion, two hundred thirteen million, seven hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 101 104 128 164 202 208 328 404 416 533 656 808 832 1066 1312 1313 1616 1664 2132 2624 2626 3232 4141 4264 5248 5252 6464 8282 8528 9319 10504 12928 16564 17056 18638 21008 33128 34112 37276 42016 53833 66256 68224 74552 84032 107666 121147 132512 149104 168064 215332 242294 265024 298208 382079 430664 484588 530048 596416 764158 861328 941219 969176 1192832 1528316 1722656 1882438 1938352 3056632 3445312 3764876 3876704 4967027 6113264 6890624 7529752 7753408 9934054 12226528 12235847 15059504 15506816 19868108 24453056 24471694 30119008 38589979 39736216 48906112 48943388 60238016 77179958 79472432 97886776 120476032 154359916 158944864 195773552 308719832 317889728 391547104 501669727 617439664 635779456 783094208 1003339454 1234879328 1566188416 2006678908 2469758656 4013357816 4939517312 8026715632 16053431264 32106862528 64213725056