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51000167040 = 2735187114197
BaseRepresentation
bin101111011111110110…
…001100101010000000
311212122021210220212120
4233133312030222000
51313422020321130
635232410324240
73453555160434
oct573766145200
9155567726776
1051000167040
111a6a12a0389
129a73a29680
134a6a037c44
14267b4c29c4
1514d75aa910
hexbdfd8ca80

51000167040 has 128 divisors (see below), whose sum is σ = 162661374720. Its totient is φ = 13591818240.

The previous prime is 51000167027. The next prime is 51000167063. The reversal of 51000167040 is 4076100015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51000167040.

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 15 ways as a sum of consecutive naturals, for example, 3585222 + ... + 3599418.

It is an arithmetic number, because the mean of its divisors is an integer number (1270791990).

Almost surely, 251000167040 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 51000167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81330687360).

51000167040 is an abundant number, since it is smaller than the sum of its proper divisors (111661207680).

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

51000167040 is a wasteful number, since it uses less digits than its factorization.

51000167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 51000167040 its reverse (4076100015), we get a palindrome (55076267055).

The spelling of 51000167040 in words is "fifty-one billion, one hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1871 1920 3742 5613 7484 9355 11226 14197 14968 18710 22452 28065 28394 29936 37420 42591 44904 56130 56788 59872 70985 74840 85182 89808 112260 113576 119744 141970 149680 170364 179616 212955 224520 227152 239488 283940 299360 340728 359232 425910 449040 454304 567880 598720 681456 718464 851820 898080 908608 1135760 1197440 1362912 1703640 1796160 1817216 2271520 2725824 3407280 3592320 4543040 5451648 6814560 9086080 13629120 26562587 27258240 53125174 79687761 106250348 132812935 159375522 212500696 265625870 318751044 398438805 425001392 531251740 637502088 796877610 850002784 1062503480 1275004176 1593755220 1700005568 2125006960 2550008352 3187510440 3400011136 4250013920 5100016704 6375020880 8500027840 10200033408 12750041760 17000055680 25500083520 51000167040