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64448120840 = 23519315351613
BaseRepresentation
bin111100000001011010…
…000100100000001000
320011100111111202102112
4330001122010200020
52023442204331330
645335042521452
74441040663015
oct740132044010
9204314452375
1064448120840
1125372314094
12105a7666288
13610116b15c
14319553670c
151a22ee4795
hexf01684808

64448120840 has 128 divisors (see below), whose sum is σ = 160540185600. Its totient is φ = 23188239360.

The previous prime is 64448120819. The next prime is 64448120851. The reversal of 64448120840 is 4802184446.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222874 + ... + 1274486.

It is an arithmetic number, because the mean of its divisors is an integer number (1254220200).

Almost surely, 264448120840 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 64448120840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80270092800).

64448120840 is an abundant number, since it is smaller than the sum of its proper divisors (96092064760).

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

64448120840 is a wasteful number, since it uses less digits than its factorization.

64448120840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51727 (or 51723 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 64448120840 in words is "sixty-four billion, four hundred forty-eight million, one hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 53 62 76 95 106 124 152 155 190 212 248 265 310 380 424 530 589 620 760 1007 1060 1178 1240 1643 2014 2120 2356 2945 3286 4028 4712 5035 5890 6572 8056 8215 10070 11780 13144 16430 20140 23560 31217 32860 40280 51613 62434 65720 103226 124868 156085 206452 249736 258065 312170 412904 516130 624340 980647 1032260 1248680 1600003 1961294 2064520 2735489 3200006 3922588 4903235 5470978 6400012 7845176 8000015 9806470 10941956 12800024 13677445 16000030 19612940 21883912 27354890 30400057 32000060 39225880 51974291 54709780 60800114 64000120 84800159 103948582 109419560 121600228 152000285 169600318 207897164 243200456 259871455 304000570 339200636 415794328 424000795 519742910 608001140 678401272 848001590 1039485820 1216002280 1611203021 1696003180 2078971640 3222406042 3392006360 6444812084 8056015105 12889624168 16112030210 32224060420 64448120840