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54056692240 = 245822182193
BaseRepresentation
bin110010010110000001…
…111010101000010000
312011112022012111012121
4302112001322220100
51341202003122430
640455554304024
73622401205555
oct622601725020
9164468174177
1054056692240
1120a1a658a71
12a587588014
135136350935
14288b400a2c
151615ab7a7a
hexc9607aa10

54056692240 has 40 divisors (see below), whose sum is σ = 125698626648. Its totient is φ = 21619783680.

The previous prime is 54056692223. The next prime is 54056692247. The reversal of 54056692240 is 4229665045.

It can be written as a sum of positive squares in 4 ways, for example, as 3231695104 + 50824997136 = 56848^2 + 225444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×540566922403 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54056692247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616584 + ... + 698776.

Almost surely, 254056692240 is an apocalyptic number.

It is an amenable number.

54056692240 is an abundant number, since it is smaller than the sum of its proper divisors (71641934408).

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

54056692240 is a wasteful number, since it uses less digits than its factorization.

54056692240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90427 (or 90421 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 54056692240 in words is "fifty-four billion, fifty-six million, six hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8221 16442 32884 41105 65768 82193 82210 131536 164386 164420 328772 328840 410965 657544 657680 821930 1315088 1643860 3287720 6575440 675708653 1351417306 2702834612 3378543265 5405669224 6757086530 10811338448 13514173060 27028346120 54056692240