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64425871902240 = 25325172631775813
BaseRepresentation
bin11101010011000010100010…
…01101011000011000100000
322110010001102210012101201200
432221201101031120120200
531421023141201332430
6345004500441201200
716366421110406142
oct1651412115303040
9273101383171650
1064425871902240
111958994a123162
1272861ba190200
1329c4445057c44
1411ca32bd06c92
1576ace8955460
hex3a9851358620

64425871902240 has 144 divisors (see below), whose sum is σ = 232785834299928. Its totient is φ = 16169630588928.

The previous prime is 64425871902221. The next prime is 64425871902283. The reversal of 64425871902240 is 4220917852446.

64425871902240 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 587 + 19 + 0 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64296470546064 + 129401356176 = 8018508^2 + 359724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×644258719022403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315863427 + ... + 1315912386.

Almost surely, 264425871902240 is an apocalyptic number.

64425871902240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64425871902240 is an abundant number, since it is smaller than the sum of its proper divisors (168359962397688).

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

64425871902240 is a wasteful number, since it uses less digits than its factorization.

64425871902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631775851 (or 2631775840 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 64425871902240 in words is "sixty-four trillion, four hundred twenty-five billion, eight hundred seventy-one million, nine hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 2631775813 5263551626 7895327439 10527103252 13158879065 15790654878 21054206504 23685982317 26317758130 31581309756 39476637195 42108413008 44740188821 47371964634 52635516260 63162619512 78953274390 84216826016 89480377642 94743929268 105271032520 118429911585 126325239024 134220566463 157906548780 178960755284 189487858536 210542065040 223700944105 236859823170 252650478048 268441132926 315813097560 357921510568 378975717072 402661699389 421084130080 447401888210 473719646340 536882265852 631626195120 671102832315 715843021136 757951434144 805323398778 894803776420 947439292680 1073764531704 1263252390240 1342205664630 1431686042272 1610646797556 1789607552840 1894878585360 2013308496945 2147529063408 2684411329260 3221293595112 3579215105680 3789757170720 4026616993890 4295058126816 5368822658520 6442587190224 7158430211360 8053233987780 10737645317040 12885174380448 16106467975560 21475290634080 32212935951120 64425871902240