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52012254400 = 2652246713177
BaseRepresentation
bin110000011100001011…
…000000010011000000
311222020211020021201121
4300130023000103000
51323010114120100
635521043042024
73520624603441
oct603413002300
9158224207647
1052012254400
112007061a617
12a0b6970314
134b9b917ac2
142735a992c8
15154637851a
hexc1c2c04c0

52012254400 has 84 divisors (see below), whose sum is σ = 128044247848. Its totient is φ = 20794890240.

The previous prime is 52012254299. The next prime is 52012254421. The reversal of 52012254400 is 445221025.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3940612 + ... + 3953788.

Almost surely, 252012254400 is an apocalyptic number.

52012254400 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 52012254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022123924).

52012254400 is an abundant number, since it is smaller than the sum of its proper divisors (76031993448).

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

52012254400 is a wasteful number, since it uses less digits than its factorization.

52012254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15666 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 52012254400 its reverse (445221025), we get a palindrome (52457475425).

The spelling of 52012254400 in words is "fifty-two billion, twelve million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2467 4934 9868 12335 13177 19736 24670 26354 39472 49340 52708 61675 65885 78944 98680 105416 123350 131770 157888 197360 210832 246700 263540 329425 394720 421664 493400 527080 658850 789440 843328 986800 1054160 1317700 1973600 2108320 2635400 3947200 4216640 5270800 10541600 21083200 32507659 65015318 130030636 162538295 260061272 325076590 520122544 650153180 812691475 1040245088 1300306360 1625382950 2080490176 2600612720 3250765900 5201225440 6501531800 10402450880 13003063600 26006127200 52012254400