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165151453240064 = 2837683137318593
BaseRepresentation
bin100101100011010001010001…
…101101000101101100000000
3210122202022202201210221010202
4211203101101231011230000
5133121320134012140224
61343125310310144332
746533540653300654
oct4543212155055400
9718668681727122
10165151453240064
1148693379956735
121663355b6520a8
13711c93b4376b5
142cad531692a64
151415e7d032eae
hex963451b45b00

165151453240064 has 144 divisors (see below), whose sum is σ = 339328359754272. Its totient is φ = 80163573202944.

The previous prime is 165151453240043. The next prime is 165151453240093. The reversal of 165151453240064 is 460042354151561.

It is a super-2 number, since 2×1651514532400642 (a number of 29 digits) contains 22 as substring.

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, 8882443952 + ... + 8882462544.

It is an arithmetic number, because the mean of its divisors is an integer number (2356446942738).

Almost surely, 2165151453240064 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 165151453240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169664179877136).

165151453240064 is an abundant number, since it is smaller than the sum of its proper divisors (174176906514208).

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

165151453240064 is a wasteful number, since it uses less digits than its factorization.

165151453240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20702 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 165151453240064 in words is "one hundred sixty-five trillion, one hundred fifty-one billion, four hundred fifty-three million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 683 1184 1366 1373 2368 2732 2746 4736 5464 5492 9472 10928 10984 18593 21856 21968 25271 37186 43712 43936 50542 50801 74372 87424 87872 101084 101602 148744 174848 175744 202168 203204 297488 351488 404336 406408 594976 687941 808672 812816 937759 1189952 1375882 1617344 1625632 1875518 2379904 2751764 3234688 3251264 3751036 4759808 5503528 6469376 6502528 7502072 11007056 12699019 13005056 15004144 22014112 25398038 25528189 30008288 34697083 44028224 50796076 51056378 60016576 69394166 88056448 101592152 102112756 120033152 138788332 176112896 203184304 204225512 240066304 277576664 406368608 408451024 469863703 555153328 812737216 816902048 939727406 944542993 1110306656 1625474432 1633804096 1879454812 1889085986 2220613312 3250948864 3267608192 3758909624 3778171972 4441226624 6535216384 7517819248 7556343944 8882453248 15035638496 15112687888 17435753087 30071276992 30225375776 34871506174 60142553984 60450751552 69743012348 120285107968 120901503104 139486024696 241803006208 278972049392 557944098784 645122864219 1115888197568 1290245728438 2231776395136 2580491456876 4463552790272 5160982913752 10321965827504 20643931655008 41287863310016 82575726620032 165151453240064