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1466152164 = 22351738719
BaseRepresentation
bin101011101100011…
…1011010011100100
310210011211020200000
41113120323103210
511000313332124
6401252421300
751222042051
oct12730732344
93704736600
101466152164
11692671904
1234b017830
131a49a0a79
14dca12028
1588ab06c9
hex5763b4e4

1466152164 has 72 divisors (see below), whose sum is σ = 3866029440. Its totient is φ = 485836704.

The previous prime is 1466152147. The next prime is 1466152189. The reversal of 1466152164 is 4612516641.

1466152164 is a `hidden beast` number, since 14 + 6 + 61 + 521 + 64 = 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163797 + ... + 172515.

Almost surely, 21466152164 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 1466152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933014720).

1466152164 is an abundant number, since it is smaller than the sum of its proper divisors (2399877276).

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

1466152164 is a wasteful number, since it uses less digits than its factorization.

1466152164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8897 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1466152164 is about 38290.3664646866. The cubic root of 1466152164 is about 1136.0384097722.

The spelling of 1466152164 in words is "one billion, four hundred sixty-six million, one hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 243 324 346 486 519 692 972 1038 1557 2076 3114 4671 6228 8719 9342 14013 17438 18684 26157 28026 34876 42039 52314 56052 78471 84078 104628 156942 168156 235413 313884 470826 706239 941652 1412478 1508387 2118717 2824956 3016774 4237434 4525161 6033548 8474868 9050322 13575483 18100644 27150966 40726449 54301932 81452898 122179347 162905796 244358694 366538041 488717388 733076082 1466152164