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54450443232 = 25321597118387
BaseRepresentation
bin110010101101011111…
…111101001111100000
312012112202010010000200
4302231133331033200
51343003303140412
641003021545200
73635222062623
oct625537751740
9165482103020
1054450443232
1121101945a09
12a677415200
135199ab4aa3
1428c7819dba
15163a4449dc
hexcad7fd3e0

54450443232 has 72 divisors (see below), whose sum is σ = 154941715656. Its totient is φ = 18138629376.

The previous prime is 54450443213. The next prime is 54450443249. The reversal of 54450443232 is 23234405445.

54450443232 is a `hidden beast` number, since 544 + 50 + 4 + 4 + 32 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×544504432322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400743 + ... + 519129.

It is an arithmetic number, because the mean of its divisors is an integer number (2151968273).

Almost surely, 254450443232 is an apocalyptic number.

It is an amenable number.

54450443232 is an abundant number, since it is smaller than the sum of its proper divisors (100491272424).

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

54450443232 is a wasteful number, since it uses less digits than its factorization.

54450443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120000 (or 119989 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 54450443232 its reverse (23234405445), we get a palindrome (77684848677).

The spelling of 54450443232 in words is "fifty-four billion, four hundred fifty million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1597 3194 4791 6388 9582 12776 14373 19164 25552 28746 38328 51104 57492 76656 114984 118387 153312 229968 236774 355161 459936 473548 710322 947096 1065483 1420644 1894192 2130966 2841288 3788384 4261932 5682576 8523864 11365152 17047728 34095456 189064039 378128078 567192117 756256156 1134384234 1512512312 1701576351 2268768468 3025024624 3403152702 4537536936 6050049248 6806305404 9075073872 13612610808 18150147744 27225221616 54450443232