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69042950784 = 2732121349409
BaseRepresentation
bin100000001001101000…
…1111101001010000000
320121012201111022011100
41000103101331022000
52112344443411114
651415022014400
74662643253463
oct1002321751200
9217181438140
1069042950784
112730aa44905
121146a417400
136684098142
1434ad8892da
151be15b5909
hex101347d280

69042950784 has 96 divisors (see below), whose sum is σ = 198846098100. Its totient is φ = 22994878464.

The previous prime is 69042950777. The next prime is 69042950797. The reversal of 69042950784 is 48705924096.

69042950784 is a `hidden beast` number, since 6 + 90 + 42 + 9 + 507 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60929985600 + 8112965184 = 246840^2 + 90072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 69042950784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372672 + ... + 1422080.

Almost surely, 269042950784 is an apocalyptic number.

69042950784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69042950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99423049050).

69042950784 is an abundant number, since it is smaller than the sum of its proper divisors (129803147316).

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

69042950784 is a wasteful number, since it uses less digits than its factorization.

69042950784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50642 (or 50627 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 69042950784 in words is "sixty-nine billion, forty-two million, nine hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1213 2426 3639 4852 7278 9704 10917 14556 19408 21834 29112 38816 43668 49409 58224 77632 87336 98818 116448 148227 155264 174672 197636 232896 296454 349344 395272 444681 465792 592908 698688 790544 889362 1185816 1397376 1581088 1778724 2371632 3162176 3557448 4743264 6324352 7114896 9486528 14229792 18973056 28459584 56919168 59933117 119866234 179799351 239732468 359598702 479464936 539398053 719197404 958929872 1078796106 1438394808 1917859744 2157592212 2876789616 3835719488 4315184424 5753579232 7671438976 8630368848 11507158464 17260737696 23014316928 34521475392 69042950784