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2146126272 = 26315797079
BaseRepresentation
bin111111111101011…
…0100100111000000
312112120022111210020
41333322310213000
513343402020042
6552542533440
7104116525623
oct17772644700
95476274706
102146126272
11a01483484
124ba897280
1328281b004
14165055dba
15c86293ec
hex7feb49c0

2146126272 has 56 divisors (see below), whose sum is σ = 5682691200. Its totient is φ = 714821376.

The previous prime is 2146126271. The next prime is 2146126273. The reversal of 2146126272 is 2726216412.

It is an interprime number because it is at equal distance from previous prime (2146126271) and next prime (2146126273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146126271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299629 + ... + 306707.

Almost surely, 22146126272 is an apocalyptic number.

It is an amenable number.

2146126272 is an abundant number, since it is smaller than the sum of its proper divisors (3536564928).

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

2146126272 is a wasteful number, since it uses less digits than its factorization.

2146126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8663 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 2146126272 is about 46326.3021619468. The cubic root of 2146126272 is about 1289.8872709617.

The spelling of 2146126272 in words is "two billion, one hundred forty-six million, one hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1579 3158 4737 6316 7079 9474 12632 14158 18948 21237 25264 28316 37896 42474 50528 56632 75792 84948 101056 113264 151584 169896 226528 303168 339792 453056 679584 1359168 11177741 22355482 33533223 44710964 67066446 89421928 134132892 178843856 268265784 357687712 536531568 715375424 1073063136 2146126272