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2051144634 = 2371143223463
BaseRepresentation
bin111101001000001…
…1111101110111010
312021221120221110210
41322100133232322
513200043112014
6535311051550
7101554304340
oct17220375672
95257527423
102051144634
119628aa360
12492b10bb6
13268c43766
141565ad990
15c0116859
hex7a41fbba

2051144634 has 128 divisors (see below), whose sum is σ = 5268307968. Its totient is φ = 516922560.

The previous prime is 2051144629. The next prime is 2051144647. The reversal of 2051144634 is 4364411502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4429887 + ... + 4430349.

It is an arithmetic number, because the mean of its divisors is an integer number (41158656).

Almost surely, 22051144634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051144634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634153984).

2051144634 is an abundant number, since it is smaller than the sum of its proper divisors (3217163334).

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

2051144634 is a wasteful number, since it uses less digits than its factorization.

2051144634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2051144634 is about 45289.5642946584. The cubic root of 2051144634 is about 1270.5704825363.

The spelling of 2051144634 in words is "two billion, fifty-one million, one hundred forty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 223 231 258 301 446 462 463 473 602 669 903 926 946 1338 1389 1419 1561 1806 2453 2778 2838 3122 3241 3311 4683 4906 5093 6482 6622 7359 9366 9589 9723 9933 10186 14718 15279 17171 19178 19446 19866 19909 28767 30558 34342 35651 39818 51513 57534 59727 67123 71302 103026 103249 105479 106953 119454 134246 139363 201369 206498 210958 213906 218999 278726 309747 316437 402738 418089 437998 619494 632874 656997 722743 738353 836178 1135739 1313994 1445486 1476706 1532993 2168229 2215059 2271478 3065986 3407217 4336458 4430118 4439707 4598979 6814434 7950173 8879414 9197958 13319121 15900346 23850519 26638242 31077949 47701038 48836777 62155898 93233847 97673554 146510331 186467694 293020662 341857439 683714878 1025572317 2051144634