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649297967232 = 2737132537321
BaseRepresentation
bin10010111001011010010…
…11001011100010000000
32022001221200200021012110
421130231023023202000
541114230234422412
61214141112455320
764624131442005
oct11345513134200
92261850607173
10649297967232
11230402858a82
12a5a086aa540
13492c8128815
14235d766b8ac
1511d52c8cd3c
hex972d2cb880

649297967232 has 128 divisors (see below), whose sum is σ = 1749765870720. Its totient is φ = 213289574400.

The previous prime is 649297967221. The next prime is 649297967239. The reversal of 649297967232 is 232769792946.

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

It is not an unprimeable number, because it can be changed into a prime (649297967239) by changing a digit.

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, 88686132 + ... + 88693452.

It is an arithmetic number, because the mean of its divisors is an integer number (13670045865).

Almost surely, 2649297967232 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 649297967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874882935360).

649297967232 is an abundant number, since it is smaller than the sum of its proper divisors (1100467903488).

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

649297967232 is a wasteful number, since it uses less digits than its factorization.

649297967232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662 (or 10650 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 66.

The spelling of 649297967232 in words is "six hundred forty-nine billion, two hundred ninety-seven million, nine hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3253 3408 4544 6506 6816 7321 9088 9759 13012 13632 14642 19518 21963 26024 27264 29284 39036 43926 52048 58568 78072 87852 104096 117136 156144 175704 208192 230963 234272 312288 351408 416384 461926 468544 519791 624576 692889 702816 923852 937088 1039582 1249152 1385778 1405632 1559373 1847704 2079164 2771556 2811264 3118746 3695408 4158328 5543112 6237492 7390816 8316656 11086224 12474984 14781632 16633312 22172448 23815213 24949968 29563264 33266624 44344896 47630426 49899936 66533248 71445639 88689792 95260852 99799872 142891278 190521704 199599744 285782556 381043408 571565112 762086816 1143130224 1524173632 1690880123 2286260448 3048347264 3381760246 4572520896 5072640369 6763520492 9145041792 10145280738 13527040984 20290561476 27054081968 40581122952 54108163936 81162245904 108216327872 162324491808 216432655744 324648983616 649297967232