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1666765344 = 253313715137
BaseRepresentation
bin110001101011000…
…1101001000100000
311022011022110012210
41203112031020200
511403142442334
6433220322120
756206162116
oct14326151040
94264273183
101666765344
11785933522
123a6243340
132074111aa
1411b513ab6
159b4db5e9
hex6358d220

1666765344 has 96 divisors (see below), whose sum is σ = 4638767616. Its totient is φ = 523100160.

The previous prime is 1666765337. The next prime is 1666765349. The reversal of 1666765344 is 4435676661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1666765293 and 1666765302.

It is not an unprimeable number, because it can be changed into a prime (1666765349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102544 + ... + 117680.

It is an arithmetic number, because the mean of its divisors is an integer number (48320496).

Almost surely, 21666765344 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 1666765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319383808).

1666765344 is an abundant number, since it is smaller than the sum of its proper divisors (2972002272).

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

1666765344 is a wasteful number, since it uses less digits than its factorization.

1666765344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15218 (or 15210 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 1666765344 is about 40826.0375740776. The cubic root of 1666765344 is about 1185.6545000180.

The spelling of 1666765344 in words is "one billion, six hundred sixty-six million, seven hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 13764 15137 18352 27528 30274 36704 45411 55056 60548 90822 110112 121096 181644 242192 363288 469247 484384 560069 726576 938494 1120138 1407741 1453152 1680207 1876988 2240276 2815482 3360414 3753976 4480552 5630964 6720828 7507952 8961104 11261928 13441656 15015904 17362139 17922208 22523856 26883312 34724278 45047712 52086417 53766624 69448556 104172834 138897112 208345668 277794224 416691336 555588448 833382672 1666765344