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52354446100 = 225211173190313
BaseRepresentation
bin110000110000100100…
…010111001100010100
312000010200010102111021
4300300210113030110
51324210214233400
640015025250524
73532251310045
oct606044271424
9160120112437
1052354446100
11202267a1280
12a191493a44
134c24798bb8
1427692d28cc
15156641d71a
hexc30917314

52354446100 has 144 divisors (see below), whose sum is σ = 135462329856. Its totient is φ = 17339904000.

The previous prime is 52354446077. The next prime is 52354446103. The reversal of 52354446100 is 164445325.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52354446103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534544 + ... + 624856.

It is an arithmetic number, because the mean of its divisors is an integer number (940710624).

Almost surely, 252354446100 is an apocalyptic number.

52354446100 is a gapful number since it is divisible by the number (50) 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 52354446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67731164928).

52354446100 is an abundant number, since it is smaller than the sum of its proper divisors (83107883756).

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

52354446100 is a wasteful number, since it uses less digits than its factorization.

52354446100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90386 (or 90379 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 52354446100 in words is "fifty-two billion, three hundred fifty-four million, four hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 31 34 44 50 55 62 68 85 100 110 124 155 170 187 220 275 310 340 341 374 425 527 550 620 682 748 775 850 935 1054 1100 1364 1550 1700 1705 1870 2108 2635 3100 3410 3740 4675 5270 5797 6820 8525 9350 10540 11594 13175 17050 18700 23188 26350 28985 34100 52700 57970 90313 115940 144925 180626 289850 361252 451565 579700 903130 993443 1535321 1806260 1986886 2257825 2799703 3070642 3973772 4515650 4967215 5599406 6141284 7676605 9031300 9934430 11198812 13998515 15353210 16888531 19868860 24836075 27997030 30706420 30796733 33777062 38383025 47594951 49672150 55994060 61593466 67554124 69992575 76766050 84442655 95189902 99344300 123186932 139985150 153532100 153983665 168885310 190379804 237974755 279970300 307967330 337770620 422213275 475949510 523544461 615934660 769918325 844426550 951899020 1047088922 1189873775 1539836650 1688853100 2094177844 2379747550 2617722305 3079673300 4759495100 5235444610 10470889220 13088611525 26177223050 52354446100