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53523133400 = 235211107227371
BaseRepresentation
bin110001110110001110…
…100011001111011000
312010011010012220002002
4301312032203033120
51334103410232100
640331014300132
73603232061462
oct616616431730
9163133186062
1053523133400
1120776460350
12a458957648
13507c948a49
14283a5d1132
1515d3d212d5
hexc763a33d8

53523133400 has 96 divisors (see below), whose sum is σ = 137023462080. Its totient is φ = 19280976000.

The previous prime is 53523133397. The next prime is 53523133403. The reversal of 53523133400 is 433132535.

It is an interprime number because it is at equal distance from previous prime (53523133397) and next prime (53523133403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53523133403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 121715 + ... + 349085.

It is an arithmetic number, because the mean of its divisors is an integer number (1427327730).

Almost surely, 253523133400 is an apocalyptic number.

53523133400 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 53523133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68511731040).

53523133400 is an abundant number, since it is smaller than the sum of its proper divisors (83500328680).

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

53523133400 is a wasteful number, since it uses less digits than its factorization.

53523133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227505 (or 227496 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 53523133400 its reverse (433132535), we get a palindrome (53956265935).

The spelling of 53523133400 in words is "fifty-three billion, five hundred twenty-three million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23540 29425 47080 58850 117700 227371 235400 454742 909484 1136855 1818968 2273710 2501081 4547420 5002162 5684275 9094840 10004324 11368550 12505405 20008648 22737100 24328697 25010810 45474200 48657394 50021620 62527025 97314788 100043240 121643485 125054050 194629576 243286970 250108100 267615667 486573940 500216200 535231334 608217425 973147880 1070462668 1216434850 1338078335 2140925336 2432869700 2676156670 4865739400 5352313340 6690391675 10704626680 13380783350 26761566700 53523133400