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54051150400 = 2652132598613
BaseRepresentation
bin110010010101101100…
…110001101001000000
312011111220202221020021
4302111230301221000
51341144043303100
640455235423224
73622303124602
oct622554615100
9164456687207
1054051150400
1120a17513335
12a585754b14
135135160340
14288a79b172
151615370a1a
hexc95b31a40

54051150400 has 84 divisors (see below), whose sum is σ = 143230406452. Its totient is φ = 19957340160.

The previous prime is 54051150367. The next prime is 54051150403. The reversal of 54051150400 is 405115045.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5496146496 + 48555003904 = 74136^2 + 220352^2 .

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 (54051150403) 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, 1278507 + ... + 1320106.

Almost surely, 254051150400 is an apocalyptic number.

54051150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54051150400 is an abundant number, since it is smaller than the sum of its proper divisors (89179256052).

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

54051150400 is a wasteful number, since it uses less digits than its factorization.

54051150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598648 (or 2598633 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 54051150400 its reverse (405115045), we get a palindrome (54456265445).

The spelling of 54051150400 in words is "fifty-four billion, fifty-one million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 2598613 5197226 10394452 12993065 20788904 25986130 33781969 41577808 51972260 64965325 67563938 83155616 103944520 129930650 135127876 166311232 168909845 207889040 259861300 270255752 337819690 415778080 519722600 540511504 675639380 831556160 844549225 1039445200 1081023008 1351278760 1689098450 2078890400 2162046016 2702557520 3378196900 4157780800 5405115040 6756393800 10810230080 13512787600 27025575200 54051150400