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2672169696 = 25337441827
BaseRepresentation
bin1001111101000110…
…0001001011100000
320220020011021201000
42133101201023200
520433033412241
61121053512000
7123135032130
oct23721411340
96806137630
102672169696
111151408709
12626aa2600
133377c1201
141b4c6aac0
151098d8eb6
hex9f4612e0

2672169696 has 96 divisors (see below), whose sum is σ = 8907252480. Its totient is φ = 763475328.

The previous prime is 2672169691. The next prime is 2672169697. The reversal of 2672169696 is 6969612762.

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 (54).

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 (2672169691) 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, 214866 + ... + 226961.

It is an arithmetic number, because the mean of its divisors is an integer number (92783880).

Almost surely, 22672169696 is an apocalyptic number.

It is an amenable number.

2672169696 is an abundant number, since it is smaller than the sum of its proper divisors (6235082784).

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

2672169696 is a wasteful number, since it uses less digits than its factorization.

2672169696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441853 (or 441839 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2672169696 is about 51693.0333410606. The cubic root of 2672169696 is about 1387.6757901450.

The spelling of 2672169696 in words is "two billion, six hundred seventy-two million, one hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 441827 883654 1325481 1767308 2650962 3092789 3534616 3976443 5301924 6185578 7069232 7952886 9278367 10603848 11929329 12371156 14138464 15905772 18556734 21207696 23858658 24742312 27835101 31811544 37113468 42415392 47717316 49484624 55670202 63623088 74226936 83505303 95434632 98969248 111340404 127246176 148453872 167010606 190869264 222680808 296907744 334021212 381738528 445361616 668042424 890723232 1336084848 2672169696