Search a number
-
+
20117562603753 = 3532292931885711
BaseRepresentation
bin1001001001011111111000…
…01011000011100011101001
32122020012221112020120002010
410210233330023003203221
510114101232011310003
6110441514120430133
74144305645455526
oct444577413034351
978205845216063
1020117562603753
1164568a069829a
12230ab03018349
13b2c10251aab4
144d79a39ac14d
1524d485d7a003
hex124bfc2c38e9

20117562603753 has 32 divisors (see below), whose sum is σ = 27542558615040. Its totient is φ = 13056475011840.

The previous prime is 20117562603713. The next prime is 20117562603793. The reversal of 20117562603753 is 35730626571102.

It is an interprime number because it is at equal distance from previous prime (20117562603713) and next prime (20117562603793).

It is not a de Polignac number, because 20117562603753 - 220 = 20117561555177 is a prime.

It is a super-3 number, since 3×201175626037533 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20117562603713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9725568 + ... + 11611278.

It is an arithmetic number, because the mean of its divisors is an integer number (860704956720).

Almost surely, 220117562603753 is an apocalyptic number.

It is an amenable number.

20117562603753 is a deficient number, since it is larger than the sum of its proper divisors (7424996011287).

20117562603753 is a wasteful number, since it uses less digits than its factorization.

20117562603753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886289.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 20117562603753 in words is "twenty trillion, one hundred seventeen billion, five hundred sixty-two million, six hundred three thousand, seven hundred fifty-three".

Divisors: 1 3 53 159 229 293 687 879 12137 15529 36411 46587 67097 201291 1885711 3556141 5657133 10668423 99942683 299828049 431827819 552513323 1295483457 1657539969 22886874407 29283206119 68660623221 87849618357 126525550967 379576652901 6705854201251 20117562603753