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54358922500 = 225446632
BaseRepresentation
bin110010101000000010…
…110101010100000100
312012022100220101011221
4302220002311110010
51342311341010000
640545552210124
73633031134421
oct625002652404
9165270811157
1054358922500
1121065216043
12a650839944
135183b4c8cc
1428b95d4d48
1516323b761a
hexca80b5504

54358922500 has 45 divisors (see below), whose sum is σ = 118897589811. Its totient is φ = 21738906000.

The previous prime is 54358922489. The next prime is 54358922503. The reversal of 54358922500 is 522985345.

The square root of 54358922500 is 233150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4261739524 + 50097182976 = 65282^2 + 223824^2 .

It is a super-2 number, since 2×543589225002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54358922503) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 11655169 + ... + 11659831.

Almost surely, 254358922500 is an apocalyptic number.

54358922500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54358922500 is the 233150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54358922500

54358922500 is an abundant number, since it is smaller than the sum of its proper divisors (64538667311).

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

54358922500 is an frugal number, since it uses more digits than its factorization.

54358922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 54358922500 in words is "fifty-four billion, three hundred fifty-eight million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 4663 9326 18652 23315 46630 93260 116575 233150 466300 582875 1165750 2331500 2914375 5828750 11657500 21743569 43487138 86974276 108717845 217435690 434871380 543589225 1087178450 2174356900 2717946125 5435892250 10871784500 13589730625 27179461250 54358922500