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3922416227936 = 256172714711879
BaseRepresentation
bin111001000101000010001…
…110011101011001100000
3111212222102221010201112202
4321011002032131121200
51003231102023243221
612201533320312332
7553246062553613
oct71050216353140
914788387121482
103922416227936
11128253a781388
125342353126a8
13225b61441abb
14d7bbb44a17a
156c06ebbad0b
hex3914239d660

3922416227936 has 96 divisors (see below), whose sum is σ = 7869176340480. Its totient is φ = 1924069593600.

The previous prime is 3922416227903. The next prime is 3922416228043. The reversal of 3922416227936 is 6397226142293.

It is a congruent number.

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, 2087501045 + ... + 2087502923.

It is an arithmetic number, because the mean of its divisors is an integer number (81970586880).

Almost surely, 23922416227936 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 3922416227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934588170240).

3922416227936 is an abundant number, since it is smaller than the sum of its proper divisors (3946760112544).

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

3922416227936 is a wasteful number, since it uses less digits than its factorization.

3922416227936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4140 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 56.

The spelling of 3922416227936 in words is "three trillion, nine hundred twenty-two billion, four hundred sixteen million, two hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 122 244 488 727 976 1454 1471 1879 1952 2908 2942 3758 5816 5884 7516 11632 11768 15032 23264 23536 30064 44347 47072 60128 88694 89731 114619 177388 179462 229238 354776 358924 458476 709552 717848 916952 1069417 1366033 1419104 1435696 1833904 2138834 2732066 2764009 2871392 3667808 4277668 5464132 5528018 8555336 10928264 11056036 17110672 21856528 22112072 34221344 43713056 44224144 65234437 83328013 88448288 130468874 166656026 168604549 260937748 333312052 337209098 521875496 666624104 674418196 1043750992 1333248208 1348836392 2009434543 2087501984 2666496416 2697672784 4018869086 5395345568 8037738172 16075476344 32150952688 64301905376 122575507123 245151014246 490302028492 980604056984 1961208113968 3922416227936