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4064246499808 = 251127146132069
BaseRepresentation
bin111011001001000111111…
…110000000100111100000
3112101112112022211001022001
4323021013332000213200
51013042034100443213
612351031123253344
7566426550150535
oct73110776004740
915345468731261
104064246499808
111327701215900
12557817b1a254
132363452627b1
141009d3b90d8c
1570ac14251dd
hex3b247f809e0

4064246499808 has 144 divisors (see below), whose sum is σ = 8938520125920. Its totient is φ = 1817357696000.

The previous prime is 4064246499779. The next prime is 4064246499809. The reversal of 4064246499808 is 8089946424604.

It is a super-2 number, since 2×40642464998082 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4064246499808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064246499809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126718398 + ... + 126750466.

It is an arithmetic number, because the mean of its divisors is an integer number (62073056430).

Almost surely, 24064246499808 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 4064246499808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469260062960).

4064246499808 is an abundant number, since it is smaller than the sum of its proper divisors (4874273626112).

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

4064246499808 is a wasteful number, since it uses less digits than its factorization.

4064246499808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32633 (or 32614 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 64.

The spelling of 4064246499808 in words is "four trillion, sixty-four billion, two hundred forty-six million, four hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 461 484 568 781 922 968 1136 1562 1844 1936 2272 3124 3688 3872 5071 6248 7376 8591 10142 12496 14752 17182 20284 24992 32069 32731 34364 40568 55781 64138 65462 68728 81136 111562 128276 130924 137456 162272 223124 256552 261848 274912 352759 360041 446248 513104 523696 705518 720082 892496 1026208 1047392 1411036 1440164 1784992 2276899 2822072 2880328 3880349 3960451 4553798 5644144 5760656 7760698 7920902 9107596 11288288 11521312 14783809 15521396 15841804 18215192 25045889 29567618 31042792 31683608 36430384 50091778 59135236 62085584 63367216 72860768 100183556 118270472 124171168 126734432 162621899 200367112 236540944 275504779 325243798 400734224 473081888 551009558 650487596 801468448 1049650439 1102019116 1300975192 1788840889 2099300878 2204038232 2601950384 3577681778 4198601756 4408076464 5203900768 7155363556 8397203512 8816152928 11546154829 14310727112 16794407024 23092309658 28621454224 33588814048 46184619316 57242908448 92369238632 127007703119 184738477264 254015406238 369476954528 508030812476 1016061624952 2032123249904 4064246499808