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65729339904 = 293193221723
BaseRepresentation
bin111101001101110001…
…100010001000000000
320021122210100102120110
4331031301202020000
52034103202334104
650110131511320
74514556112404
oct751561421000
9207583312513
1065729339904
112596a553a18
12108a4758540
13627672b847
143277769104
151a9a724e89
hexf4dc62200

65729339904 has 80 divisors (see below), whose sum is σ = 176015153952. Its totient is φ = 21796159488.

The previous prime is 65729339899. The next prime is 65729339989. The reversal of 65729339904 is 40993392756.

It is a happy number.

It is a super-2 number, since 2×657293399042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185587 + ... + 407309.

Almost surely, 265729339904 is an apocalyptic number.

65729339904 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 65729339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88007576976).

65729339904 is an abundant number, since it is smaller than the sum of its proper divisors (110285814048).

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

65729339904 is a wasteful number, since it uses less digits than its factorization.

65729339904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221937 (or 221921 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 65729339904 in words is "sixty-five billion, seven hundred twenty-nine million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 579 768 772 1158 1536 1544 2316 3088 4632 6176 9264 12352 18528 24704 37056 49408 74112 98816 148224 221723 296448 443446 665169 886892 1330338 1773784 2660676 3547568 5321352 7095136 10642704 14190272 21285408 28380544 42570816 42792539 56761088 85141632 85585078 113522176 128377617 170283264 171170156 256755234 340566528 342340312 513510468 684680624 1027020936 1369361248 2054041872 2738722496 4108083744 5477444992 8216167488 10954889984 16432334976 21909779968 32864669952 65729339904