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39685332992 = 213312712
BaseRepresentation
bin100100111101011011…
…100010000000000000
310210102201221210111212
4210331123202000000
51122233421123432
630121534225252
72603303523164
oct447533420000
9123381853455
1039685332992
1115915377068
127836655228
133985b1a876
141cc689aca4
15107407c2b2
hex93d6e2000

39685332992 has 126 divisors (see below), whose sum is σ = 83179915047. Its totient is φ = 18932121600.

The previous prime is 39685332959. The next prime is 39685333007. The reversal of 39685332992 is 29923358693.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19842666496 + 19842666496 = 140864^2 + 140864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=140864.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 558948317 + ... + 558948387.

Almost surely, 239685332992 is an apocalyptic number.

39685332992 is a gapful number since it is divisible by the number (32) 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 39685332992

39685332992 is an abundant number, since it is smaller than the sum of its proper divisors (43494582055).

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

39685332992 is an frugal number, since it uses more digits than its factorization.

39685332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 104 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 59.

The spelling of 39685332992 in words is "thirty-nine billion, six hundred eighty-five million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 961 992 1024 1136 1922 1984 2048 2201 2272 3844 3968 4096 4402 4544 5041 7688 7936 8192 8804 9088 10082 15376 15872 17608 18176 20164 30752 31744 35216 36352 40328 61504 63488 68231 70432 72704 80656 123008 126976 136462 140864 145408 156271 161312 246016 253952 272924 281728 290816 312542 322624 492032 545848 563456 581632 625084 645248 984064 1091696 1126912 1250168 1290496 1968128 2183392 2253824 2500336 2580992 3936256 4366784 4507648 4844401 5000672 5161984 7872512 8733568 9015296 9688802 10001344 10323968 17467136 18030592 19377604 20002688 20647936 34934272 38755208 40005376 41295872 69868544 77510416 80010752 139737088 155020832 160021504 279474176 310041664 320043008 558948352 620083328 640086016 1240166656 1280172032 2480333312 4960666624 9921333248 19842666496 39685332992