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1643406368 = 25196173607
BaseRepresentation
bin110000111110100…
…0110010000100000
311020112100200201112
41201331012100200
511331203000433
6431023522452
755503503132
oct14175062040
94215320645
101643406368
1177372958a
1239a459428
13202622c06
14118393052
1599425348
hex61f46420

1643406368 has 96 divisors (see below), whose sum is σ = 3514775040. Its totient is φ = 753960960.

The previous prime is 1643406367. The next prime is 1643406383. The reversal of 1643406368 is 8636043461.

It is not an unprimeable number, because it can be changed into a prime (1643406367) 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, 2707121 + ... + 2707727.

It is an arithmetic number, because the mean of its divisors is an integer number (36612240).

Almost surely, 21643406368 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 1643406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757387520).

1643406368 is an abundant number, since it is smaller than the sum of its proper divisors (1871368672).

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

1643406368 is a wasteful number, since it uses less digits than its factorization.

1643406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 1643406368 is about 40538.9487776879. The cubic root of 1643406368 is about 1180.0896149502.

The spelling of 1643406368 in words is "one billion, six hundred forty-three million, four hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 73 76 122 146 152 244 292 304 488 584 607 608 976 1159 1168 1214 1387 1952 2318 2336 2428 2774 4453 4636 4856 5548 8906 9272 9712 11096 11533 17812 18544 19424 22192 23066 35624 37027 37088 44311 44384 46132 71248 74054 84607 88622 92264 142496 148108 169214 177244 184528 296216 338428 354488 369056 592432 676856 703513 708976 841909 1184864 1353712 1407026 1417952 1683818 2702971 2707424 2814052 3367636 5405942 5628104 6735272 10811884 11256208 13470544 21623768 22512416 26941088 43247536 51356449 86495072 102712898 205425796 410851592 821703184 1643406368