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48005059264 = 264183227971
BaseRepresentation
bin101100101101010100…
…110001001011000000
311120220112222200101221
4230231110301023000
51241303243344024
634015255004424
73316416162001
oct545524611300
9146815880357
1048005059264
11193a46715a8
129378969714
1346b0677416
1424757d11a8
1513ae6813e4
hexb2d5312c0

48005059264 has 112 divisors (see below), whose sum is σ = 99296378496. Its totient is φ = 23009331200.

The previous prime is 48005059253. The next prime is 48005059283. The reversal of 48005059264 is 46295050084.

It is a self number, because there is not a number n which added to its sum of digits gives 48005059264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49438299 + ... + 49439269.

It is an arithmetic number, because the mean of its divisors is an integer number (886574808).

Almost surely, 248005059264 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 48005059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648189248).

48005059264 is an abundant number, since it is smaller than the sum of its proper divisors (51291319232).

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

48005059264 is a wasteful number, since it uses less digits than its factorization.

48005059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 48005059264 in words is "forty-eight billion, five million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 83 164 166 227 328 332 454 656 664 908 971 1312 1328 1816 1942 2624 2656 3403 3632 3884 5312 6806 7264 7768 9307 13612 14528 15536 18614 18841 27224 31072 37228 37682 39811 54448 62144 74456 75364 79622 80593 108896 148912 150728 159244 161186 217792 220417 297824 301456 318488 322372 440834 595648 602912 636976 644744 772481 881668 1205824 1273952 1289488 1544962 1763336 2547904 2578976 3089924 3304313 3526672 5157952 6179848 6608626 7053344 9037097 12359696 13217252 14106688 18074194 18294611 24719392 26434504 36148388 36589222 49438784 52869008 72296776 73178444 105738016 144593552 146356888 211476032 289187104 292713776 578374208 585427552 750079051 1170855104 1500158102 3000316204 6000632408 12001264816 24002529632 48005059264