Search a number
-
+
20135751463215 = 32517311632223973
BaseRepresentation
bin1001001010000001110000…
…10100000011000100101111
32122021221220010210100120200
410211000320110003010233
510114401004333310330
6110454123031044543
74145521456305363
oct445007024030457
978257803710520
1020135751463215
116463584843653
12231253a510753
13b30a4090492b
144d880b51b2a3
1524db9cadba60
hex12503850312f

20135751463215 has 48 divisors (see below), whose sum is σ = 35133914248992. Its totient is φ = 10667806555392.

The previous prime is 20135751463187. The next prime is 20135751463291. The reversal of 20135751463215 is 51236415753102.

20135751463215 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 7 + 5 + 1 + 4 + 632 + 1 + 5 = 666.

It is not a de Polignac number, because 20135751463215 - 239 = 19585995649327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7941969 + ... + 10165941.

It is an arithmetic number, because the mean of its divisors is an integer number (731956546854).

Almost surely, 220135751463215 is an apocalyptic number.

20135751463215 is a deficient number, since it is larger than the sum of its proper divisors (14998162785777).

20135751463215 is a wasteful number, since it uses less digits than its factorization.

20135751463215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225320 (or 2225317 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 20135751463215 in words is "twenty trillion, one hundred thirty-five billion, seven hundred fifty-one million, four hundred sixty-three thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 173 519 865 1163 1557 2595 3489 5815 7785 10467 17445 52335 201199 603597 1005995 1810791 2223973 3017985 6671919 9053955 11119865 20015757 33359595 100078785 384747329 1154241987 1923736645 2586480599 3462725961 5771209935 7759441797 12932402995 17313629805 23278325391 38797208985 116391626955 447461143627 1342383430881 2237305718135 4027150292643 6711917154405 20135751463215