Search a number
-
+
10053547416 = 2333114231291
BaseRepresentation
bin10010101110011110…
…01111010110011000
3221221122112010101000
421113033033112120
5131042202004131
64341334225000
7504064512603
oct112717172630
927848463330
1010053547416
114299a68a80
121b46ab5160
13c42b18433
146b530133a
153dc938ce6
hex2573cf598

10053547416 has 64 divisors (see below), whose sum is σ = 30465302400. Its totient is φ = 3046528800.

The previous prime is 10053547379. The next prime is 10053547417. The reversal of 10053547416 is 61474535001.

10053547416 is a `hidden beast` number, since 100 + 5 + 3 + 547 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053547417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113270 + ... + 2118021.

It is an arithmetic number, because the mean of its divisors is an integer number (476020350).

Almost surely, 210053547416 is an apocalyptic number.

It is an amenable number.

10053547416 is an abundant number, since it is smaller than the sum of its proper divisors (20411754984).

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

10053547416 is a wasteful number, since it uses less digits than its factorization.

10053547416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231317 (or 4231307 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10053547416 in words is "ten billion, fifty-three million, five hundred forty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4231291 8462582 12693873 16925164 25387746 33850328 38081619 46544201 50775492 76163238 93088402 101550984 114244857 139632603 152326476 186176804 228489714 279265206 304652952 372353608 418897809 456979428 558530412 837795618 913958856 1117060824 1256693427 1675591236 2513386854 3351182472 5026773708 10053547416