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427463473152 = 2113508113693
BaseRepresentation
bin1100011100001101100…
…11101111100000000000
31111212100122221100200010
412032012303233200000
524000421122120102
6524212441424520
742611641366602
oct6160663574000
91455318840603
10427463473152
11155316a94251
126aa1879b140
1331404355281
14169917ad172
15b1bc9cdd6c
hex6386cef800

427463473152 has 96 divisors (see below), whose sum is σ = 1139931833040. Its totient is φ = 142449377280.

The previous prime is 427463472983. The next prime is 427463473153. The reversal of 427463473152 is 251374364724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427463473153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31210818 + ... + 31224510.

Almost surely, 2427463473152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427463473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569965916520).

427463473152 is an abundant number, since it is smaller than the sum of its proper divisors (712468359888).

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

427463473152 is a wasteful number, since it uses less digits than its factorization.

427463473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18799 (or 18779 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 48.

The spelling of 427463473152 in words is "four hundred twenty-seven billion, four hundred sixty-three million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 5081 6144 10162 13693 15243 20324 27386 30486 40648 41079 54772 60972 81296 82158 109544 121944 162592 164316 219088 243888 325184 328632 438176 487776 650368 657264 876352 975552 1300736 1314528 1752704 1951104 2601472 2629056 3505408 3902208 5202944 5258112 7010816 7804416 10405888 10516224 14021632 15608832 21032448 28043264 31217664 42064896 69574133 84129792 139148266 208722399 278296532 417444798 556593064 834889596 1113186128 1669779192 2226372256 3339558384 4452744512 6679116768 8905489024 13358233536 17810978048 26716467072 35621956096 53432934144 71243912192 106865868288 142487824384 213731736576 427463473152