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54300186672 = 2435343149523
BaseRepresentation
bin110010100100100010…
…110001100000110000
312012011021101021202220
4302210202301200300
51342201321433142
640540053241040
73631415654064
oct624442614060
9165137337686
1054300186672
1121035048a36
12a635033180
135174926194
1428b18a5aa4
15162c1642ec
hexca48b1830

54300186672 has 80 divisors (see below), whose sum is σ = 143256688128. Its totient is φ = 17716990720.

The previous prime is 54300186653. The next prime is 54300186691. The reversal of 54300186672 is 27668100345.

It is an interprime number because it is at equal distance from previous prime (54300186653) and next prime (54300186691).

It is a super-2 number, since 2×543001866722 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1071703 + ... + 1121225.

Almost surely, 254300186672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54300186672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628344064).

54300186672 is an abundant number, since it is smaller than the sum of its proper divisors (88956501456).

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

54300186672 is a wasteful number, since it uses less digits than its factorization.

54300186672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50018 (or 50012 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 54300186672 in words is "fifty-four billion, three hundred million, one hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 431 636 848 862 1272 1293 1724 2544 2586 3448 5172 6896 10344 20688 22843 45686 49523 68529 91372 99046 137058 148569 182744 198092 274116 297138 365488 396184 548232 594276 792368 1096464 1188552 2377104 2624719 5249438 7874157 10498876 15748314 20997752 21344413 31496628 41995504 42688826 62993256 64033239 85377652 125986512 128066478 170755304 256132956 341510608 512265912 1024531824 1131253889 2262507778 3393761667 4525015556 6787523334 9050031112 13575046668 18100062224 27150093336 54300186672