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132164604036 = 2232231011580387
BaseRepresentation
bin111101100010110011…
…1111101000010000100
3110122010210000112010200
41323011213331002010
54131133114312121
6140414322050500
712356106412203
oct1730547750204
9418123015120
10132164604036
1151061523193
12217457a9a30
13c60349211a
14657ab7123a
153687ddca26
hex1ec59fd084

132164604036 has 72 divisors (see below), whose sum is σ = 352059873984. Its totient is φ = 41722190400.

The previous prime is 132164604001. The next prime is 132164604073. The reversal of 132164604036 is 630406461231.

132164604036 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 646 + 0 + 4 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 706566 + ... + 873821.

It is an arithmetic number, because the mean of its divisors is an integer number (4889720472).

Almost surely, 2132164604036 is an apocalyptic number.

It is an amenable number.

132164604036 is an abundant number, since it is smaller than the sum of its proper divisors (219895269948).

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

132164604036 is a wasteful number, since it uses less digits than its factorization.

132164604036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580521 (or 1580516 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 13216460 and 4036, that added together give a square (13220496 = 36362).

The spelling of 132164604036 in words is "one hundred thirty-two billion, one hundred sixty-four million, six hundred four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 101 138 202 207 276 303 404 414 606 828 909 1212 1818 2323 3636 4646 6969 9292 13938 20907 27876 41814 83628 1580387 3160774 4741161 6321548 9482322 14223483 18964644 28446966 36348901 56893932 72697802 109046703 145395604 159619087 218093406 319238174 327140109 436186812 478857261 638476348 654280218 957714522 1308560436 1436571783 1915429044 2873143566 3671239001 5746287132 7342478002 11013717003 14684956004 22027434006 33041151009 44054868012 66082302018 132164604036