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1671163081440 = 253532991055347
BaseRepresentation
bin11000010100011001000…
…101001111001011100000
312220202120020011120122020
4120110121011033023200
5204340020222101230
63315415520341440
7231510656546466
oct30243105171340
95822506146566
101671163081440
11594810aa0896
1222ba71174880
13c1789309a58
145ac55982836
152d70dd8b810
hex1851914f2e0

1671163081440 has 96 divisors (see below), whose sum is σ = 5265764380800. Its totient is φ = 445507981824.

The previous prime is 1671163081433. The next prime is 1671163081463. The reversal of 1671163081440 is 441803611761.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1671163081392 and 1671163081401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055847 + ... + 2111193.

It is an arithmetic number, because the mean of its divisors is an integer number (54851712300).

Almost surely, 21671163081440 is an apocalyptic number.

1671163081440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1671163081440 is an abundant number, since it is smaller than the sum of its proper divisors (3594601299360).

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

1671163081440 is a wasteful number, since it uses less digits than its factorization.

1671163081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058664 (or 1058656 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1671163081440 in words is "one trillion, six hundred seventy-one billion, one hundred sixty-three million, eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3299 6598 9897 13196 16495 19794 26392 32990 39588 49485 52784 65980 79176 98970 105568 131960 158352 197940 263920 316704 395880 527840 791760 1055347 1583520 2110694 3166041 4221388 5276735 6332082 8442776 10553470 12664164 15830205 16885552 21106940 25328328 31660410 33771104 42213880 50656656 63320820 84427760 101313312 126641640 168855520 253283280 506566560 3481589753 6963179506 10444769259 13926359012 17407948765 20889538518 27852718024 34815897530 41779077036 52223846295 55705436048 69631795060 83558154072 104447692590 111410872096 139263590120 167116308144 208895385180 278527180240 334232616288 417790770360 557054360480 835581540720 1671163081440