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5231465456 = 247179457571
BaseRepresentation
bin1001101111101000…
…11101001111110000
3111111120220222110212
410313310131033300
541203223343311
62223040243252
7243432502610
oct46764351760
914446828425
105231465456
112245031478
121020010528
13654ab1bb9
14378b14a40
15209428c8b
hex137d1d3f0

5231465456 has 80 divisors (see below), whose sum is σ = 11694608640. Its totient is φ = 2220756480.

The previous prime is 5231465443. The next prime is 5231465467. The reversal of 5231465456 is 6545641325.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 9161651 + ... + 9162221.

It is an arithmetic number, because the mean of its divisors is an integer number (146182608).

Almost surely, 25231465456 is an apocalyptic number.

5231465456 is a gapful number since it is divisible by the number (56) 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 5231465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847304320).

5231465456 is an abundant number, since it is smaller than the sum of its proper divisors (6463143184).

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

5231465456 is a wasteful number, since it uses less digits than its factorization.

5231465456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 5231465456 is about 72328.8701418735. The cubic root of 5231465456 is about 1735.9656229256.

The spelling of 5231465456 in words is "five billion, two hundred thirty-one million, four hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 457 571 716 914 1142 1253 1432 1828 2284 2506 2864 3199 3656 3997 4568 5012 6398 7312 7994 9136 10024 12796 15988 20048 25592 31976 51184 63952 81803 102209 163606 204418 260947 327212 408836 521894 572621 654424 715463 817672 1043788 1145242 1308848 1430926 1635344 1826629 2087576 2290484 2861852 3653258 4175152 4580968 5723704 7306516 9161936 11447408 14613032 29226064 46709513 93419026 186838052 326966591 373676104 653933182 747352208 1307866364 2615732728 5231465456