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1665502164 = 2232374130497
BaseRepresentation
bin110001101000101…
…1000101111010100
311022001221021110100
41203101120233110
511402332032124
6433133254100
756162351304
oct14321305724
94261837410
101665502164
11785150477
123a5934330
1320708b251
1411b2a5604
159b33c1c9
hex63458bd4

1665502164 has 72 divisors (see below), whose sum is σ = 4429407528. Its totient is φ = 526970880.

The previous prime is 1665502159. The next prime is 1665502169. The reversal of 1665502164 is 4612055661.

It is an interprime number because it is at equal distance from previous prime (1665502159) and next prime (1665502169).

It can be written as a sum of positive squares in 4 ways, for example, as 349989264 + 1315512900 = 18708^2 + 36270^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665502169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39364 + ... + 69860.

It is an arithmetic number, because the mean of its divisors is an integer number (61519549).

Almost surely, 21665502164 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 1665502164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214703764).

1665502164 is an abundant number, since it is smaller than the sum of its proper divisors (2763905364).

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

1665502164 is a wasteful number, since it uses less digits than its factorization.

1665502164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30585 (or 30580 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1665502164 is about 40810.5643675752. The cubic root of 1665502164 is about 1185.3549030441.

The spelling of 1665502164 in words is "one billion, six hundred sixty-five million, five hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 30497 54612 60994 91491 121988 182982 274473 365964 548946 1097892 1128389 1250377 2256778 2500754 3385167 3751131 4513556 5001508 6770334 7502262 10155501 11253393 13540668 15004524 20311002 22506786 40622004 45013572 46263949 92527898 138791847 185055796 277583694 416375541 555167388 832751082 1665502164