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54416759076 = 223217222872
BaseRepresentation
bin110010101011011111…
…011101100100100100
312012110101201210001100
4302223133131210210
51342421142242301
640555420000100
73634332551241
oct625337354444
9165411653040
1054416759076
1121094929569
12a668090030
135192b1cc34
1428c316c5c8
1516374de286
hexcab7dd924

54416759076 has 81 divisors (see below), whose sum is σ = 146184738609. Its totient is φ = 17064459648.

The previous prime is 54416759063. The next prime is 54416759083. The reversal of 54416759076 is 67095761445.

The square root of 54416759076 is 233274.

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

54416759076 is a `hidden beast` number, since 5 + 4 + 41 + 6 + 7 + 590 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42365988900 + 12050770176 = 205830^2 + 109776^2 .

It is a super-2 number, since 2×544167590762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23792805 + ... + 23795091.

Almost surely, 254416759076 is an apocalyptic number.

54416759076 is the 233274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54416759076

54416759076 is an abundant number, since it is smaller than the sum of its proper divisors (91767979533).

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

54416759076 is a wasteful number, since it uses less digits than its factorization.

54416759076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 54416759076 in words is "fifty-four billion, four hundred sixteen million, seven hundred fifty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2287 2601 3468 4574 5202 6861 9148 10404 13722 20583 27444 38879 41166 77758 82332 116637 155516 233274 349911 466548 660943 699822 1321886 1399644 1982829 2643772 3965658 5230369 5948487 7931316 10460738 11896974 15691107 20921476 23793948 31382214 47073321 62764428 88916273 94146642 177832546 188293284 266748819 355665092 533497638 800246457 1066995276 1511576641 1600492914 3023153282 3200985828 4534729923 6046306564 9069459846 13604189769 18138919692 27208379538 54416759076