Search a number
-
+
53532340000 = 25543772341
BaseRepresentation
bin110001110110110001…
…101010111100100000
312010011202112122011021
4301312301222330200
51334113234340000
640331543455224
73603403245046
oct616661527440
9163152478137
1053532340000
1120780679407
12a45ba57514
135081820439
14283b90a396
1515d4a3e11a
hexc76c6af20

53532340000 has 120 divisors (see below), whose sum is σ = 135258850188. Its totient is φ = 20833920000.

The previous prime is 53532339967. The next prime is 53532340007. The reversal of 53532340000 is 4323535.

It is a happy number.

53532340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1437016464 + 52095323536 = 37908^2 + 228244^2 .

It is a super-2 number, since 2×535323400002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53532340007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 703830 + ... + 776170.

Almost surely, 253532340000 is an apocalyptic number.

53532340000 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 53532340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67629425094).

53532340000 is an abundant number, since it is smaller than the sum of its proper divisors (81726510188).

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

53532340000 is an equidigital number, since it uses as much as digits as its factorization.

53532340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72408 (or 72385 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

Adding to 53532340000 its reverse (4323535), we get a palindrome (53536663535).

The spelling of 53532340000 in words is "fifty-three billion, five hundred thirty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 9250 10000 14800 18500 20000 23125 29600 37000 46250 72341 74000 92500 144682 148000 185000 289364 361705 370000 578728 723410 740000 1157456 1446820 1808525 2314912 2676617 2893640 3617050 5353234 5787280 7234100 9042625 10706468 11574560 13383085 14468200 18085250 21412936 26766170 28936400 36170500 42825872 45213125 53532340 57872800 66915425 72341000 85651744 90426250 107064680 133830850 144682000 180852500 214129360 267661700 289364000 334577125 361705000 428258720 535323400 669154250 723410000 1070646800 1338308500 1446820000 1672885625 2141293600 2676617000 3345771250 5353234000 6691542500 10706468000 13383085000 26766170000 53532340000