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639399993936 = 243113142979091
BaseRepresentation
bin10010100110111110011…
…01011010001001010000
32021010101212220010101220
421103133031122021100
540433442344301221
61205423012525040
764123633163004
oct11233715321120
92233355803356
10639399993936
1122719369a160
12a3b05920780
13483ab6114a2
1422d38ca6704
1511973d350c6
hex94df35a250

639399993936 has 160 divisors (see below), whose sum is σ = 1860710240256. Its totient is φ = 187443072000.

The previous prime is 639399993913. The next prime is 639399993949.

639399993936 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70328751 + ... + 70337841.

Almost surely, 2639399993936 is an apocalyptic number.

639399993936 is a gapful number since it is divisible by the number (66) 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 639399993936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930355120128).

639399993936 is an abundant number, since it is smaller than the sum of its proper divisors (1221310246320).

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

639399993936 is a wasteful number, since it uses less digits than its factorization.

639399993936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13435 counting only the distinct ones).

The product of its digits is 1549681956, while the sum is 78.

The spelling of 639399993936 in words is "six hundred thirty-nine billion, three hundred ninety-nine million, nine hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 4297 5456 8184 8594 9091 12891 16368 17188 18182 25782 27273 34376 36364 47267 51564 54546 68752 72728 94534 100001 103128 109092 133207 141801 145456 189068 200002 206256 218184 266414 281821 283602 300003 378136 399621 400004 436368 532828 563642 567204 600006 756272 799242 800008 845463 1065656 1127284 1134408 1200012 1465277 1598484 1600016 1690926 2131312 2254568 2268816 2400024 2930554 3100031 3196968 3381852 4395831 4509136 4800048 5861108 6200062 6393936 6763704 8791662 9300093 11722216 12400124 13527408 17583324 18600186 23444432 24800248 35166648 37200372 39064027 49600496 70333296 74400744 78128054 117192081 148801488 156256108 234384162 312512216 429704297 468768324 625024432 859408594 937536648 1210984837 1289112891 1718817188 1875073296 2421969674 2578225782 3437634376 3632954511 4843939348 5156451564 6875268752 7265909022 9687878696 10312903128 13320833207 14531818044 19375757392 20625806256 26641666414 29063636088 39962499621 53283332828 58127272176 79924999242 106566665656 159849998484 213133331312 319699996968 639399993936