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165145566656 = 267368628497
BaseRepresentation
bin1001100111001101110…
…0010101110111000000
3120210021021112000110202
42121303130111313000
510201204231113111
6203511122344332
714634314104160
oct2316334256700
9523237460422
10165145566656
1164046404594
122800aabb0a8
131275b304515
147dc90685a0
154468599b3b
hex2673715dc0

165145566656 has 28 divisors (see below), whose sum is σ = 374526553968. Its totient is φ = 70776671232.

The previous prime is 165145566653. The next prime is 165145566673. The reversal of 165145566656 is 656665541561.

165145566656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1651455666562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165145566653) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 184313801 + ... + 184314696.

It is an arithmetic number, because the mean of its divisors is an integer number (13375948356).

Almost surely, 2165145566656 is an apocalyptic number.

165145566656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165145566656 is an abundant number, since it is smaller than the sum of its proper divisors (209380987312).

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

165145566656 is an equidigital number, since it uses as much as digits as its factorization.

165145566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368628516 (or 368628506 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 56.

The spelling of 165145566656 in words is "one hundred sixty-five billion, one hundred forty-five million, five hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 368628497 737256994 1474513988 2580399479 2949027976 5160798958 5898055952 10321597916 11796111904 20643195832 23592223808 41286391664 82572783328 165145566656