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4146235566 = 231147228439
BaseRepresentation
bin1111011100100010…
…1000100010101110
3101200221212120221020
43313020220202232
531442414014231
61523232115010
7204514264224
oct36710504256
911627776836
104146235566
111838495170
12978695a66
13511003035
142b493cb14
1519400e396
hexf72288ae

4146235566 has 48 divisors (see below), whose sum is σ = 9243227520. Its totient is φ = 1229659120.

The previous prime is 4146235559. The next prime is 4146235601. The reversal of 4146235566 is 6655326414.

4146235566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131575 + ... + 160013.

It is an arithmetic number, because the mean of its divisors is an integer number (192567240).

Almost surely, 24146235566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146235566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621613760).

4146235566 is an abundant number, since it is smaller than the sum of its proper divisors (5096991954).

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

4146235566 is a wasteful number, since it uses less digits than its factorization.

4146235566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28549 (or 28502 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 4146235566 is about 64391.2693305544. The cubic root of 4146235566 is about 1606.5145288949.

It can be divided in two parts, 41462 and 35566, that added together give a triangular number (77028 = T392).

The spelling of 4146235566 in words is "four billion, one hundred forty-six million, two hundred thirty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 2209 3102 4418 6627 13254 24299 28439 48598 56878 72897 85317 145794 170634 312829 625658 938487 1336633 1876974 2673266 4009899 8019798 14702963 29405926 44108889 62821751 88217778 125643502 188465253 376930506 691039261 1382078522 2073117783 4146235566