Search a number
-
+
427553124705 = 3357658168749
BaseRepresentation
bin1100011100011000010…
…01101111000101100001
31111212120220122010111000
412032030021233011201
524001112044442310
6524225403142213
742614110411440
oct6161411570541
91455526563430
10427553124705
11155362657843
126aa42814969
1331419ab4725
141699d668d57
15b1c57dc4c0
hex638c26f161

427553124705 has 64 divisors (see below), whose sum is σ = 868824000000. Its totient is φ = 195420314880.

The previous prime is 427553124641. The next prime is 427553124727. The reversal of 427553124705 is 507421355724.

427553124705 is a `hidden beast` number, since 4 + 2 + 7 + 553 + 1 + 24 + 70 + 5 = 666.

It is not a de Polignac number, because 427553124705 - 26 = 427553124641 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6184671 + ... + 6253419.

It is an arithmetic number, because the mean of its divisors is an integer number (13575375000).

Almost surely, 2427553124705 is an apocalyptic number.

427553124705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427553124705 is an abundant number, since it is smaller than the sum of its proper divisors (441270875295).

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

427553124705 is a wasteful number, since it uses less digits than its factorization.

427553124705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75351 (or 75345 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 427553124705 in words is "four hundred twenty-seven billion, five hundred fifty-three million, one hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 6581 19743 32905 46067 59229 68749 98715 138201 177687 206247 230335 296145 343745 414603 481243 618741 691005 888435 1031235 1243809 1443729 1856223 2073015 2406215 3093705 4331187 6219045 7218645 9281115 12993561 21655935 64967805 452437169 1357311507 2262185845 3167060183 4071934521 6786557535 9501180549 12215803563 15835300915 20359672605 28503541647 47505902745 61079017815 85510624941 142517708235 427553124705