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4882336031104 = 27710165538233
BaseRepresentation
bin100011100001100000111…
…1001111010000110000000
3122021202011101121012011021
41013003001321322012000
51114443011010443404
614214525245155224
71012510560346060
oct107030171720600
918252141535137
104882336031104
111612650453164
1266a29055bb14
1329552cb5922c
1412c4407ab3a0
15870028a8454
hex470c1e7a180

4882336031104 has 128 divisors (see below), whose sum is σ = 11229169538880. Its totient is φ = 2071144857600.

The previous prime is 4882336031093. The next prime is 4882336031113. The reversal of 4882336031104 is 4011306332884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 593016172 + ... + 593024404.

Almost surely, 24882336031104 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 4882336031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614584769440).

4882336031104 is an abundant number, since it is smaller than the sum of its proper divisors (6346833507776).

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

4882336031104 is a wasteful number, since it uses less digits than its factorization.

4882336031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 4882336031104 in words is "four trillion, eight hundred eighty-two billion, three hundred thirty-six million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 707 808 896 1414 1616 2828 3232 5656 6464 6553 8233 11312 12928 13106 16466 22624 26212 32932 45248 45871 52424 57631 65864 90496 91742 104848 115262 131728 183484 209696 230524 263456 366968 419392 461048 526912 661853 733936 831533 838784 922096 1053824 1323706 1467872 1663066 1844192 2647412 2935744 3326132 3688384 4632971 5294824 5820731 5871488 6652264 7376768 9265942 10589648 11641462 13304528 18531884 21179296 23282924 26609056 37063768 42358592 46565848 53218112 53950849 74127536 84717184 93131696 106436224 107901698 148255072 186263392 215803396 296510144 372526784 377655943 431606792 593020288 745053568 755311886 863213584 1510623772 1726427168 3021247544 3452854336 5449035749 6042495088 6905708672 10898071498 12084990176 21796142996 24169980352 38143250243 43592285992 48339960704 76286500486 87184571984 152573000972 174369143968 305146001944 348738287936 610292003888 697476575872 1220584007776 2441168015552 4882336031104