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54657214900 = 2252546572149
BaseRepresentation
bin110010111001110100…
…101110100110110100
312020002011012012102121
4302321310232212310
51343414221334100
641035325445324
73643312442521
oct627164564664
9166064165377
1054657214900
11211a8633592
12a714710844
1352008a03a2
142907082148
15164d68a51a
hexcb9d2e9b4

54657214900 has 18 divisors (see below), whose sum is σ = 118606156550. Its totient is φ = 21862885920.

The previous prime is 54657214891. The next prime is 54657214967. The reversal of 54657214900 is 941275645.

It can be written as a sum of positive squares in 3 ways, for example, as 562828176 + 54094386724 = 23724^2 + 232582^2 .

It is a super-2 number, since 2×546572149002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 273285975 + ... + 273286174.

Almost surely, 254657214900 is an apocalyptic number.

54657214900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54657214900 is an abundant number, since it is smaller than the sum of its proper divisors (63948941650).

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

54657214900 is a wasteful number, since it uses less digits than its factorization.

54657214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546572163 (or 546572156 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 54657214900 in words is "fifty-four billion, six hundred fifty-seven million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 546572149 1093144298 2186288596 2732860745 5465721490 10931442980 13664303725 27328607450 54657214900