Search a number
-
+
57648015359 = 1121753528779
BaseRepresentation
bin110101101100000101…
…101110011111111111
312111210120220121100222
4311230011232133333
51421030342442414
642252205011555
74110400021424
oct655405563777
9174716817328
1057648015359
11224a2890200
12b20a253bbb
1355893b34bc
142b0c371d4b
15177601368e
hexd6c16e7ff

57648015359 has 24 divisors (see below), whose sum is σ = 68358563280. Its totient is φ = 48393762560.

The previous prime is 57648015343. The next prime is 57648015361. The reversal of 57648015359 is 95351084675.

It is a happy number.

It is not a de Polignac number, because 57648015359 - 24 = 57648015343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57648015359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57648015259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155369 + ... + 373410.

It is an arithmetic number, because the mean of its divisors is an integer number (2848273470).

Almost surely, 257648015359 is an apocalyptic number.

57648015359 is a deficient number, since it is larger than the sum of its proper divisors (10710547921).

57648015359 is a wasteful number, since it uses less digits than its factorization.

57648015359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528871 (or 528860 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 57648015359 in words is "fifty-seven billion, six hundred forty-eight million, fifteen thousand, three hundred fifty-nine".

Divisors: 1 11 17 53 121 187 583 901 2057 6413 9911 109021 528779 5816569 8989243 28025287 63982259 98881673 308278157 476429879 1087698403 3391059727 5240728669 57648015359