Search a number
-
+
20640402004464 = 24321113030556821
BaseRepresentation
bin1001011000101101101111…
…10101000101100111110000
32201002012111002211001002200
410230112313311011213300
510201133020403120324
6111522023023343200
74230135255161244
oct454266765054760
981065432731080
1020640402004464
1166385aa923570
1223942b8a51b00
13b694c6387558
14515002236424
1525bd86b47ec9
hex12c5b7d459f0

20640402004464 has 60 divisors (see below), whose sum is σ = 63015772791192. Its totient is φ = 6254667273600.

The previous prime is 20640402004447. The next prime is 20640402004489. The reversal of 20640402004464 is 46440020404602.

20640402004464 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 0 + 4 + 0 + 200 + 446 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6515276827 + ... + 6515279994.

Almost surely, 220640402004464 is an apocalyptic number.

20640402004464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20640402004464 is an abundant number, since it is smaller than the sum of its proper divisors (42375370786728).

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

20640402004464 is a wasteful number, since it uses less digits than its factorization.

20640402004464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030556846 (or 13030556837 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 20640402004464 in words is "twenty trillion, six hundred forty billion, four hundred two million, four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 13030556821 26061113642 39091670463 52122227284 78183340926 104244454568 117275011389 143336125031 156366681852 208488909136 234550022778 286672250062 312733363704 430008375093 469100045556 573344500124 625466727408 860016750186 938200091112 1146689000248 1290025125279 1720033500372 1876400182224 2293378000496 2580050250558 3440067000744 5160100501116 6880134001488 10320201002232 20640402004464