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645459435216 = 243329211244177
BaseRepresentation
bin10010110010010000110…
…00010101111011010000
32021201001011210122012000
421121020120111323100
541033400103411331
61212304151434000
764430041450401
oct11311030257320
92251034718160
10645459435216
1122981302a072
12a5117085900
1348b35abcabb
14233519499a8
1511bcacb00e6
hex9648615ed0

645459435216 has 160 divisors (see below), whose sum is σ = 1925685379200. Its totient is φ = 206748702720.

The previous prime is 645459435119. The next prime is 645459435239. The reversal of 645459435216 is 612534954546.

645459435216 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 594 + 35 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2521320 + ... + 2765496.

It is an arithmetic number, because the mean of its divisors is an integer number (12035533620).

Almost surely, 2645459435216 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 645459435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962842689600).

645459435216 is an abundant number, since it is smaller than the sum of its proper divisors (1280225943984).

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

645459435216 is a wasteful number, since it uses less digits than its factorization.

645459435216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244434 (or 244422 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 645459435216 in words is "six hundred forty-five billion, four hundred fifty-nine million, four hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 211 216 232 261 348 422 432 464 522 633 696 783 844 1044 1266 1392 1566 1688 1899 2088 2532 3132 3376 3798 4176 5064 5697 6119 6264 7596 10128 11394 12238 12528 15192 18357 22788 24476 30384 36714 45576 48952 55071 73428 91152 97904 110142 146856 165213 220284 244177 293712 330426 440568 488354 660852 732531 881136 976708 1321704 1465062 1953416 2197593 2643408 2930124 3906832 4395186 5860248 6592779 7081133 8790372 11720496 13185558 14162266 17580744 21243399 26371116 28324532 35161488 42486798 51521347 52742232 56649064 63730197 84973596 103042694 105484464 113298128 127460394 154564041 169947192 191190591 206085388 254920788 309128082 339894384 382381182 412170776 463692123 509841576 618256164 764762364 824341552 927384246 1019683152 1236512328 1391076369 1494119063 1529524728 1854768492 2473024656 2782152738 2988238126 3059049456 3709536984 4482357189 5564305476 5976476252 7419073968 8964714378 11128610952 11952952504 13447071567 17929428756 22257221904 23905905008 26894143134 35858857512 40341214701 53788286268 71717715024 80682429402 107576572536 161364858804 215153145072 322729717608 645459435216