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2673112000 = 26531325703
BaseRepresentation
bin1001111101010100…
…0111001111000000
320220021221011022011
42133111013033000
520433304041000
61121130022304
7123146035306
oct23725071700
96807834264
102673112000
1111519a1679
12627277994
13337a610a0
141b5034276
15109a232ba
hex9f5473c0

2673112000 has 112 divisors (see below), whose sum is σ = 7129467072. Its totient is φ = 986956800.

The previous prime is 2673111979. The next prime is 2673112007. The reversal of 2673112000 is 2113762.

2673112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673112007) 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, 91149 + ... + 116851.

It is an arithmetic number, because the mean of its divisors is an integer number (63655956).

Almost surely, 22673112000 is an apocalyptic number.

2673112000 is a gapful number since it is divisible by the number (20) 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 2673112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564733536).

2673112000 is an abundant number, since it is smaller than the sum of its proper divisors (4456355072).

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

2673112000 is a wasteful number, since it uses less digits than its factorization.

2673112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25743 (or 25723 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2673112000 is about 51702.1469573556. The cubic root of 2673112000 is about 1387.8388859215.

Adding to 2673112000 its reverse (2113762), we get a palindrome (2675225762).

The spelling of 2673112000 in words is "two billion, six hundred seventy-three million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 25703 26000 51406 52000 102812 104000 128515 205624 257030 334139 411248 514060 642575 668278 822496 1028120 1285150 1336556 1644992 1670695 2056240 2570300 2673112 3212875 3341390 4112480 5140600 5346224 6425750 6682780 8224960 8353475 10281200 10692448 12851500 13365560 16706950 20562400 21384896 25703000 26731120 33413900 41124800 41767375 51406000 53462240 66827800 83534750 102812000 106924480 133655600 167069500 205624000 267311200 334139000 534622400 668278000 1336556000 2673112000