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1671480864 = 253243711901
BaseRepresentation
bin110001110100000…
…1100011000100000
311022111012000200200
41203220030120200
511410344341424
6433505345200
756264232024
oct14350143040
94274160620
101671480864
11788564349
123a7938200
132083a2641
1411bdc0384
159bb1d8c9
hex63a0c620

1671480864 has 144 divisors (see below), whose sum is σ = 4934913984. Its totient is φ = 536256000.

The previous prime is 1671480857. The next prime is 1671480869. The reversal of 1671480864 is 4680841761.

1671480864 is a `hidden beast` number, since 167 + 1 + 480 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1671480869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878314 + ... + 880214.

It is an arithmetic number, because the mean of its divisors is an integer number (34270236).

Almost surely, 21671480864 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 1671480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467456992).

1671480864 is an abundant number, since it is smaller than the sum of its proper divisors (3263433120).

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

1671480864 is a wasteful number, since it uses less digits than its factorization.

1671480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1671480864 is about 40883.7481647659. The cubic root of 1671480864 is about 1186.7715765236.

The spelling of 1671480864 in words is "one billion, six hundred seventy-one million, four hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 71 72 86 96 129 142 144 172 213 258 284 288 344 387 426 516 568 639 688 774 852 1032 1136 1278 1376 1548 1704 1901 2064 2272 2556 3053 3096 3408 3802 4128 5112 5703 6106 6192 6816 7604 9159 10224 11406 12212 12384 15208 17109 18318 20448 22812 24424 27477 30416 34218 36636 45624 48848 54954 60832 68436 73272 81743 91248 97696 109908 134971 136872 146544 163486 182496 219816 245229 269942 273744 293088 326972 404913 439632 490458 539884 547488 653944 735687 809826 879264 980916 1079768 1214739 1307888 1471374 1619652 1961832 2159536 2429478 2615776 2942748 3239304 3923664 4319072 4858956 5803753 5885496 6478608 7847328 9717912 11607506 11770992 12957216 17411259 19435824 23215012 23541984 34822518 38871648 46430024 52233777 69645036 92860048 104467554 139290072 185720096 208935108 278580144 417870216 557160288 835740432 1671480864