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52959083604 = 22371799137423
BaseRepresentation
bin110001010100100110…
…110111110001010100
312001200210212012012220
4301110212313301110
51331430011133404
640155024542340
73553242532440
oct612446676124
9161623765186
1052959083604
1120507027399
12a31ba819b0
134cbcb2957b
1427c5725820
15159e5554d9
hexc549b7c54

52959083604 has 96 divisors (see below), whose sum is σ = 149686419456. Its totient is φ = 14226347520.

The previous prime is 52959083603. The next prime is 52959083687. The reversal of 52959083604 is 40638095925.

52959083604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52959083603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396437 + ... + 1433859.

It is an arithmetic number, because the mean of its divisors is an integer number (1559233536).

Almost surely, 252959083604 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 52959083604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74843209728).

52959083604 is an abundant number, since it is smaller than the sum of its proper divisors (96727335852).

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

52959083604 is a wasteful number, since it uses less digits than its factorization.

52959083604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38445 (or 38443 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 52959083604 in words is "fifty-two billion, nine hundred fifty-nine million, eighty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 991 1428 1982 2973 3964 5946 6937 11892 13874 16847 20811 27748 33694 37423 41622 50541 67388 74846 83244 101082 112269 117929 149692 202164 224538 235858 261961 353787 449076 471716 523922 636191 707574 785883 1047844 1272382 1415148 1571766 1908573 2544764 3143532 3817146 4453337 7634292 8906674 13360011 17813348 26720022 37086193 53440044 74172386 111258579 148344772 222517158 259603351 445034316 519206702 630465281 778810053 1038413404 1260930562 1557620106 1891395843 2521861124 3115240212 3782791686 4413256967 7565583372 8826513934 13239770901 17653027868 26479541802 52959083604