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53354042400 = 2535222230851
BaseRepresentation
bin110001101100001001…
…100001010000100000
312002201100001011211110
4301230021201100200
51333232113324100
640302134143320
73566106610011
oct615411412040
9162640034743
1053354042400
1120699a6981a
12a4101b1b40
1350538c43b9
142821d77008
1515c4070250
hexc6c261420

53354042400 has 72 divisors (see below), whose sum is σ = 173667415824. Its totient is φ = 14227744000.

The previous prime is 53354042393. The next prime is 53354042407. The reversal of 53354042400 is 424045335.

It is an interprime number because it is at equal distance from previous prime (53354042393) and next prime (53354042407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53354042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11113026 + ... + 11117825.

It is an arithmetic number, because the mean of its divisors is an integer number (2412047442).

Almost surely, 253354042400 is an apocalyptic number.

53354042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53354042400 is an abundant number, since it is smaller than the sum of its proper divisors (120313373424).

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

53354042400 is a wasteful number, since it uses less digits than its factorization.

53354042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22230874 (or 22230861 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 53354042400 its reverse (424045335), we get a palindrome (53778087735).

The spelling of 53354042400 in words is "fifty-three billion, three hundred fifty-four million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 22230851 44461702 66692553 88923404 111154255 133385106 177846808 222308510 266770212 333462765 355693616 444617020 533540424 555771275 666925530 711387232 889234040 1067080848 1111542550 1333851060 1667313825 1778468080 2134161696 2223085100 2667702120 3334627650 3556936160 4446170200 5335404240 6669255300 8892340400 10670808480 13338510600 17784680800 26677021200 53354042400