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4166605152 = 253219761441
BaseRepresentation
bin1111100001011001…
…0101100101100000
3101202101012110202100
43320112111211200
532013122331102
61525240450400
7205152362613
oct37026254540
911671173670
104166605152
111848a38136
12983479a00
135152b5748
142b752217a
15195bd4a1c
hexf8595960

4166605152 has 72 divisors (see below), whose sum is σ = 12472419960. Its totient is φ = 1315768320.

The previous prime is 4166605151. The next prime is 4166605153. The reversal of 4166605152 is 2515066614.

It is an interprime number because it is at equal distance from previous prime (4166605151) and next prime (4166605153).

It is a tau number, because it is divible by the number of its divisors (72).

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 (4166605151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375249 + ... + 386192.

It is an arithmetic number, because the mean of its divisors is an integer number (173228055).

Almost surely, 24166605152 is an apocalyptic number.

It is an amenable number.

4166605152 is an abundant number, since it is smaller than the sum of its proper divisors (8305814808).

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

4166605152 is a wasteful number, since it uses less digits than its factorization.

4166605152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761476 (or 761465 counting only the distinct ones).

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

The square root of 4166605152 is about 64549.2459444725. The cubic root of 4166605152 is about 1609.1410554027.

The spelling of 4166605152 in words is "four billion, one hundred sixty-six million, six hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 761441 1522882 2284323 3045764 4568646 6091528 6852969 9137292 12183056 13705938 14467379 18274584 24366112 27411876 28934758 36549168 43402137 54823752 57869516 73098336 86804274 109647504 115739032 130206411 173608548 219295008 231478064 260412822 347217096 462956128 520825644 694434192 1041651288 1388868384 2083302576 4166605152