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52452051200 = 285222813593
BaseRepresentation
bin110000110110011000…
…101100100100000000
312000101110210021111222
4300312120230210000
51324410211114300
640032433254212
73534545036033
oct606630544400
9160343707458
1052452051200
11202768a744a
12a1ba104368
134c3ba815b3
14277825d01a
15156ec9d785
hexc3662c900

52452051200 has 108 divisors (see below), whose sum is σ = 129920088228. Its totient is φ = 20965785600.

The previous prime is 52452051173. The next prime is 52452051269. The reversal of 52452051200 is 215025425.

It can be written as a sum of positive squares in 6 ways, for example, as 1758628096 + 50693423104 = 41936^2 + 225152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52452051200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14596604 + ... + 14600196.

Almost surely, 252452051200 is an apocalyptic number.

52452051200 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 52452051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64960044114).

52452051200 is an abundant number, since it is smaller than the sum of its proper divisors (77468037028).

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

52452051200 is a wasteful number, since it uses less digits than its factorization.

52452051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 52452051200 its reverse (215025425), we get a palindrome (52667076625).

The spelling of 52452051200 in words is "fifty-two billion, four hundred fifty-two million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 2281 3200 3593 4562 6400 7186 9124 11405 14372 17965 18248 22810 28744 35930 36496 45620 57025 57488 71860 72992 89825 91240 114050 114976 143720 145984 179650 182480 228100 229952 287440 291968 359300 364960 456200 459904 574880 583936 718600 729920 912400 919808 1149760 1437200 1459840 1824800 2299520 2874400 2919680 3649600 4599040 5748800 7299200 8195633 11497600 14598400 16391266 22995200 32782532 40978165 65565064 81956330 131130128 163912660 204890825 262260256 327825320 409781650 524520512 655650640 819563300 1049041024 1311301280 1639126600 2098082048 2622602560 3278253200 5245205120 6556506400 10490410240 13113012800 26226025600 52452051200