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69884448896 = 274783173809
BaseRepresentation
bin100000100010101110…
…0000001000010000000
320200101100220211120002
41001011130001002000
52121110404331041
652034322135132
75022542004653
oct1010534010200
9220340824502
1069884448896
1127701a49899
12116641b14a8
13678951a712
14354d53789a
151c403d859b
hex1045701080

69884448896 has 128 divisors (see below), whose sum is σ = 144908870400. Its totient is φ = 33549918208.

The previous prime is 69884448859. The next prime is 69884448901.

69884448896 is nontrivially palindromic in base 10.

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

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, 86383340 + ... + 86384148.

It is an arithmetic number, because the mean of its divisors is an integer number (1132100550).

Almost surely, 269884448896 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 69884448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72454435200).

69884448896 is an abundant number, since it is smaller than the sum of its proper divisors (75024421504).

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

69884448896 is a wasteful number, since it uses less digits than its factorization.

69884448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 74.

The spelling of 69884448896 in words is "sixty-nine billion, eight hundred eighty-four million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 83 94 128 166 173 188 332 346 376 664 692 752 809 1328 1384 1504 1618 2656 2768 3008 3236 3901 5312 5536 6016 6472 7802 8131 10624 11072 12944 14359 15604 16262 22144 25888 28718 31208 32524 38023 51776 57436 62416 65048 67147 76046 103552 114872 124832 130096 134294 139957 152092 229744 249664 260192 268588 279914 304184 459488 499328 520384 537176 559828 608368 674873 918976 1040768 1074352 1119656 1216736 1349746 1837952 2148704 2239312 2433472 2699492 3155909 4297408 4478624 4866944 5398984 6311818 6577979 8594816 8957248 10797968 11616431 12623636 13155958 17914496 21595936 23232862 25247272 26311916 43191872 46465724 50494544 52623832 86383744 92931448 100989088 105247664 185862896 201978176 210495328 371725792 403956352 420990656 545972257 743451584 841981312 1091944514 1486903168 2183889028 4367778056 8735556112 17471112224 34942224448 69884448896