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3920017113276 = 223111571151916421
BaseRepresentation
bin111001000010110011001…
…110100100000010111100
3111212202020201210001221020
4321002303032210002330
51003211143340111101
612200455255104140
7553132451455335
oct71026316440274
914782221701836
103920017113276
111281519513aa0
12533885972050
1322586b3a6124
14d7a3097b28c
156be7e26c136
hex390b33a40bc

3920017113276 has 96 divisors (see below), whose sum is σ = 10043264286720. Its totient is φ = 1180143494400.

The previous prime is 3920017113241. The next prime is 3920017113277. The reversal of 3920017113276 is 6723117100293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920017113277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 238711546 + ... + 238727966.

It is an arithmetic number, because the mean of its divisors is an integer number (104617336320).

Almost surely, 23920017113276 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 3920017113276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021632143360).

3920017113276 is an abundant number, since it is smaller than the sum of its proper divisors (6123247173444).

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

3920017113276 is a wasteful number, since it uses less digits than its factorization.

3920017113276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28115 (or 28113 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 3920017113276 in words is "three trillion, nine hundred twenty billion, seventeen million, one hundred thirteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6908 10362 11519 16421 20724 23038 32842 34557 46076 49263 65684 69114 98526 126709 138228 180631 197052 253418 361262 380127 506836 541893 722524 760254 1083786 1520508 1808483 2167572 2578097 3616966 5156194 5425449 7233932 7734291 10312388 10850898 15468582 19893313 21701796 28359067 30937164 39786626 56718134 59679939 79573252 85077201 113436268 119359878 170154402 189153499 238719756 340308804 378306998 567460497 756613996 1134920994 2080688489 2269841988 4161376978 6242065467 8322753956 12484130934 24968261868 29697099343 59394198686 89091298029 118788397372 178182596058 326668092773 356365192116 653336185546 980004278319 1306672371092 1960008556638 3920017113276