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5463123432 = 2331325169761
BaseRepresentation
bin1010001011010000…
…01010010111101000
3112002201211102110220
411011220022113220
542142024422212
62302033410040
7252244532364
oct50550122750
915081742426
105463123432
112353877548
121085709920
13690aa1a20
1439b7b82a4
1521e93838c
hex145a0a5e8

5463123432 has 64 divisors (see below), whose sum is σ = 14767220160. Its totient is φ = 1674240000.

The previous prime is 5463123403. The next prime is 5463123439. The reversal of 5463123432 is 2343213645.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5463123393 and 5463123402.

It is not an unprimeable number, because it can be changed into a prime (5463123439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43432 + ... + 113192.

It is an arithmetic number, because the mean of its divisors is an integer number (230737815).

Almost surely, 25463123432 is an apocalyptic number.

5463123432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383610080).

5463123432 is an abundant number, since it is smaller than the sum of its proper divisors (9304096728).

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

5463123432 is a wasteful number, since it uses less digits than its factorization.

5463123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70034 (or 70030 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 5463123432 is about 73912.9449555354. The cubic root of 5463123432 is about 1761.2202531174.

The spelling of 5463123432 in words is "five billion, four hundred sixty-three million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 251 312 502 753 1004 1506 2008 3012 3263 6024 6526 9789 13052 19578 26104 39156 69761 78312 139522 209283 279044 418566 558088 837132 906893 1674264 1813786 2720679 3627572 5441358 7255144 10882716 17510011 21765432 35020022 52530033 70040044 105060066 140080088 210120132 227630143 420240264 455260286 682890429 910520572 1365780858 1821041144 2731561716 5463123432