Search a number
-
+
54078217058224 = 2429145661800131
BaseRepresentation
bin11000100101111000100001…
…11010101111011110110000
321002110211022221001012202101
430102330100322233132300
524042004142031330344
6311003105010230144
714251010426435662
oct1422742072573660
9232424287035671
1054078217058224
111625a496793237
126094879585354
132423728156888
14d4d5849aa532
1563ba727ee9d4
hex312f10eaf7b0

54078217058224 has 40 divisors (see below), whose sum is σ = 108390409467120. Its totient is φ = 26106513619200.

The previous prime is 54078217058209. The next prime is 54078217058251. The reversal of 54078217058224 is 42285071287045.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67186639 + ... + 67986769.

It is an arithmetic number, because the mean of its divisors is an integer number (2709760236678).

Almost surely, 254078217058224 is an apocalyptic number.

It is an amenable number.

54078217058224 is an abundant number, since it is smaller than the sum of its proper divisors (54312192408896).

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

54078217058224 is a wasteful number, since it uses less digits than its factorization.

54078217058224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945829 (or 945823 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 55.

The spelling of 54078217058224 in words is "fifty-four trillion, seventy-eight billion, two hundred seventeen million, fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 145661 291322 582644 800131 1165288 1600262 2330576 3200524 4224169 6401048 8448338 12802096 16896676 23203799 33793352 46407598 67586704 92815196 185630392 371260784 116547881591 233095763182 466191526364 932383052728 1864766105456 3379888566139 6759777132278 13519554264556 27039108529112 54078217058224