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39924641328 = 243111319306133
BaseRepresentation
bin100101001011101100…
…011010111000110000
310211001102020220211120
4211023230122320300
51123231202010303
630201403342240
72612240565135
oct451354327060
9124042226746
1039924641328
1115a28467a50
1278a2821980
1339c3588930
141d0a59258c
15108a09d553
hex94bb1ae30

39924641328 has 160 divisors (see below), whose sum is σ = 127547669760. Its totient is φ = 10579921920.

The previous prime is 39924641257. The next prime is 39924641369. The reversal of 39924641328 is 82314642993.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22651 + ... + 283482.

It is an arithmetic number, because the mean of its divisors is an integer number (797172936).

Almost surely, 239924641328 is an apocalyptic number.

39924641328 is a gapful number since it is divisible by the number (38) 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 39924641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773834880).

39924641328 is an abundant number, since it is smaller than the sum of its proper divisors (87623028432).

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

39924641328 is a wasteful number, since it uses less digits than its factorization.

39924641328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306187 (or 306181 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 39924641328 in words is "thirty-nine billion, nine hundred twenty-four million, six hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 32604 43472 65208 130416 306133 612266 918399 1224532 1836798 2449064 3367463 3673596 3979729 4898128 5816527 6734926 7347192 7959458 10102389 11633054 11939187 13469852 14694384 15918916 17449581 20204778 23266108 23878374 26939704 31837832 34899162 40409556 43777019 46532216 47756748 53879408 63675664 63981797 69798324 75614851 80819112 87554038 93064432 95513496 127963594 131331057 139596648 151229702 161638224 175108076 191026992 191945391 226844553 255927188 262662114 279193296 302459404 350216152 383890782 453689106 511854376 525324228 604918808 700432304 767781564 831763361 907378212 1023708752 1050648456 1209837616 1535563128 1663526722 1814756424 2101296912 2495290083 3071126256 3327053444 3629512848 4990580166 6654106888 9981160332 13308213776 19962320664 39924641328