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464328825936 = 24337619422369
BaseRepresentation
bin1101100000111000010…
…01111001110001010000
31122101111212121022120120
412300130021321301100
530101421134412221
6553150522110240
745355333620333
oct6603411716120
91571455538516
10464328825936
11169a14576458
1275ba694b380
1334a2ab6b4a1
141868b92461a
15c1291c65c6
hex6c1c279c50

464328825936 has 80 divisors (see below), whose sum is σ = 1233928612800. Its totient is φ = 150349492224.

The previous prime is 464328825923. The next prime is 464328825937. The reversal of 464328825936 is 639528823464.

It is a self number, because there is not a number n which added to its sum of digits gives 464328825936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464328825937) 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 15 ways as a sum of consecutive naturals, for example, 888160 + ... + 1310528.

It is an arithmetic number, because the mean of its divisors is an integer number (15424107660).

Almost surely, 2464328825936 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 464328825936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616964306400).

464328825936 is an abundant number, since it is smaller than the sum of its proper divisors (769599786864).

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

464328825936 is a wasteful number, since it uses less digits than its factorization.

464328825936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423036 (or 423030 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 464328825936 in words is "four hundred sixty-four billion, three hundred twenty-eight million, eight hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 619 888 1238 1776 1857 2476 3714 4952 7428 9904 14856 22903 29712 45806 68709 91612 137418 183224 274836 366448 422369 549672 844738 1099344 1267107 1689476 2534214 3378952 5068428 6757904 10136856 15627653 20273712 31255306 46882959 62510612 93765918 125021224 187531836 250042448 261446411 375063672 522892822 750127344 784339233 1045785644 1568678466 2091571288 3137356932 4183142576 6274713864 9673517207 12549427728 19347034414 29020551621 38694068828 58041103242 77388137656 116082206484 154776275312 232164412968 464328825936