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645877594368 = 2833103907213
BaseRepresentation
bin10010110011000010100…
…11011111100100000000
32021202010022122022201000
421121201103133210000
541040224131004433
61212413450212000
764443306653316
oct11314123374400
92252108568630
10645877594368
11229a08078246
12a5213124000
1348ba161b956
14233912ba0b6
1511c0285e113
hex96614df900

645877594368 has 144 divisors (see below), whose sum is σ = 1928519232640. Its totient is φ = 213202077696.

The previous prime is 645877594309. The next prime is 645877594387. The reversal of 645877594368 is 863495778546.

645877594368 is a `hidden beast` number, since 6 + 4 + 587 + 7 + 5 + 9 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 645877594296 and 645877594305.

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 15 ways as a sum of consecutive naturals, for example, 258330 + ... + 1165542.

Almost surely, 2645877594368 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 645877594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964259616320).

645877594368 is an abundant number, since it is smaller than the sum of its proper divisors (1282641638272).

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

645877594368 is a wasteful number, since it uses less digits than its factorization.

645877594368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907341 (or 907321 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 645877594368 in words is "six hundred forty-five billion, eight hundred seventy-seven million, five hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 576 618 768 824 864 927 1152 1236 1648 1728 1854 2304 2472 2781 3296 3456 3708 4944 5562 6592 6912 7416 9888 11124 13184 14832 19776 22248 26368 29664 39552 44496 59328 79104 88992 118656 177984 237312 355968 711936 907213 1814426 2721639 3628852 5443278 7257704 8164917 10886556 14515408 16329834 21773112 24494751 29030816 32659668 43546224 48989502 58061632 65319336 87092448 93442939 97979004 116123264 130638672 174184896 186885878 195958008 232246528 261277344 280328817 348369792 373771756 391916016 522554688 560657634 696739584 747543512 783832032 840986451 1045109376 1121315268 1495087024 1567664064 1681972902 2090218752 2242630536 2522959353 2990174048 3135328128 3363945804 4485261072 5045918706 5980348096 6270656256 6727891608 8970522144 10091837412 11960696192 13455783216 17941044288 20183674824 23921392384 26911566432 35882088576 40367349648 53823132864 71764177152 80734699296 107646265728 161469398592 215292531456 322938797184 645877594368