Search a number
-
+
20530302541344 = 2532122358287631
BaseRepresentation
bin1001010101100000101010…
…11000111101111000100000
32200200200022002020210222100
410222300111120331320200
510142332024422310334
6111355254002010400
74216160015162661
oct452602530757040
980620262223870
1020530302541344
1165a5941619332
122376ab0946a00
13b5bccb3a433b
1450d959b61368
15259090e54c99
hex12ac1563de20

20530302541344 has 72 divisors (see below), whose sum is σ = 58430786424192. Its totient is φ = 6837838450560.

The previous prime is 20530302541319. The next prime is 20530302541363. The reversal of 20530302541344 is 44314520303502.

20530302541344 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 302 + 5 + 4 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 20530302541299 and 20530302541308.

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, 28791592 + ... + 29496039.

It is an arithmetic number, because the mean of its divisors is an integer number (811538700336).

Almost surely, 220530302541344 is an apocalyptic number.

20530302541344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20530302541344 is an abundant number, since it is smaller than the sum of its proper divisors (37900483882848).

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

20530302541344 is a wasteful number, since it uses less digits than its factorization.

20530302541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58288870 (or 58288859 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 20530302541344 its reverse (44314520303502), we get a palindrome (64844822844846).

The spelling of 20530302541344 in words is "twenty trillion, five hundred thirty billion, three hundred two million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1223 2446 3669 4892 7338 9784 11007 14676 19568 22014 29352 39136 44028 58704 88056 117408 176112 352224 58287631 116575262 174862893 233150524 349725786 466301048 524588679 699451572 932602096 1049177358 1398903144 1865204192 2098354716 2797806288 4196709432 5595612576 8393418864 16786837728 71285772713 142571545426 213857318139 285143090852 427714636278 570286181704 641571954417 855429272556 1140572363408 1283143908834 1710858545112 2281144726816 2566287817668 3421717090224 5132575635336 6843434180448 10265151270672 20530302541344