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1643231616 = 27313225321
BaseRepresentation
bin110000111110001…
…1011100110000000
311020112000211000020
41201330123212000
511331131402431
6431020053440
755502144505
oct14174334600
94215024006
101643231616
1177361a264
1239a394280
13202591500
141183494ac
15993dd696
hex61f1b980

1643231616 has 96 divisors (see below), whose sum is σ = 4726604520. Its totient is φ = 505589760.

The previous prime is 1643231609. The next prime is 1643231617. The reversal of 1643231616 is 6161323461.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643231617) 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, 52236 + ... + 77556.

Almost surely, 21643231616 is an apocalyptic number.

1643231616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363302260).

1643231616 is an abundant number, since it is smaller than the sum of its proper divisors (3083372904).

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

1643231616 is a wasteful number, since it uses less digits than its factorization.

1643231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364 (or 25339 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1643231616 is about 40536.7933610936. The cubic root of 1643231616 is about 1180.0477850993.

The spelling of 1643231616 in words is "one billion, six hundred forty-three million, two hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 25321 32448 50642 64896 75963 101284 151926 202568 303852 329173 405136 607704 658346 810272 987519 1215408 1316692 1620544 1975038 2430816 2633384 3241088 3950076 4279249 4861632 5266768 7900152 8558498 9723264 10533536 12837747 15800304 17116996 21067072 25675494 31600608 34233992 42134144 51350988 63201216 68467984 102701976 126402432 136935968 205403952 273871936 410807904 547743872 821615808 1643231616