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2671025032 = 231341738581
BaseRepresentation
bin1001111100110100…
…1001101110001000
320220011000010112001
42133031021232020
520432240300112
61121013200344
7123122223664
oct23715115610
96804003461
102671025032
1111507a6705
126266300b4
133374b01b0
141b4a4d8a4
1510975ec57
hex9f349b88

2671025032 has 64 divisors (see below), whose sum is σ = 5601299760. Its totient is φ = 1186099200.

The previous prime is 2671025003. The next prime is 2671025039. The reversal of 2671025032 is 2305201762.

2671025032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4955076 + 2666069956 = 2226^2 + 51634^2 .

It is not an unprimeable number, because it can be changed into a prime (2671025039) 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, 306982 + ... + 315562.

Almost surely, 22671025032 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 2671025032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800649880).

2671025032 is an abundant number, since it is smaller than the sum of its proper divisors (2930274728).

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

2671025032 is a wasteful number, since it uses less digits than its factorization.

2671025032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2671025032 is about 51681.9604117336. The cubic root of 2671025032 is about 1387.4776179275.

Adding to 2671025032 its reverse (2305201762), we get a palindrome (4976226794).

The spelling of 2671025032 in words is "two billion, six hundred seventy-one million, twenty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 292 328 533 584 949 1066 1898 2132 2993 3796 4264 5986 7592 8581 11972 17162 23944 34324 38909 68648 77818 111553 155636 223106 311272 351821 446212 626413 703642 892424 1252826 1407284 2505652 2814568 4573673 5011304 8143369 9147346 16286738 18294692 25682933 32573476 36589384 51365866 65146952 102731732 205463464 333878129 667756258 1335512516 2671025032