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160145600064 = 2634787174241
BaseRepresentation
bin1001010100100101101…
…0111110111001000000
3120022100211012101201220
42111021122332321000
510110434233200224
6201323031555040
714366362066122
oct2251132767100
9508324171656
10160145600064
1161a1001a69a
122705452ba80
1312142487bc8
147a72db5212
15427464d279
hex25496bee40

160145600064 has 56 divisors (see below), whose sum is σ = 423809513568. Its totient is φ = 53370408960.

The previous prime is 160145600051. The next prime is 160145600077. The reversal of 160145600064 is 460006541061.

It is a happy number.

160145600064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (160145600051) and next prime (160145600077).

It is a super-2 number, since 2×1601456000642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 160145599998 and 160145600034.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831984 + ... + 1006224.

It is an arithmetic number, because the mean of its divisors is an integer number (7568027028).

Almost surely, 2160145600064 is an apocalyptic number.

It is an amenable number.

160145600064 is an abundant number, since it is smaller than the sum of its proper divisors (263663913504).

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

160145600064 is a wasteful number, since it uses less digits than its factorization.

160145600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179043 (or 179033 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 160145600064 in words is "one hundred sixty billion, one hundred forty-five million, six hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4787 9574 14361 19148 28722 38296 57444 76592 114888 153184 174241 229776 306368 348482 459552 522723 696964 919104 1045446 1393928 2090892 2787856 4181784 5575712 8363568 11151424 16727136 33454272 834091667 1668183334 2502275001 3336366668 5004550002 6672733336 10009100004 13345466672 20018200008 26690933344 40036400016 53381866688 80072800032 160145600064