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4055500416 = 273111756477
BaseRepresentation
bin1111000110111010…
…0000011010000000
3101110122010202201010
43301232200122000
531301202003131
61510231240520
7202333120242
oct36156403200
911418122633
104055500416
1117a1251540
12952219140
134c82845b6
142a6880092
1518b089b46
hexf1ba0680

4055500416 has 128 divisors (see below), whose sum is σ = 12443232960. Its totient is φ = 1156628480.

The previous prime is 4055500357. The next prime is 4055500417. The reversal of 4055500416 is 6140055504.

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

It is not an unprimeable number, because it can be changed into a prime (4055500417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43570 + ... + 100046.

Almost surely, 24055500416 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 4055500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221616480).

4055500416 is an abundant number, since it is smaller than the sum of its proper divisors (8387732544).

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

4055500416 is a wasteful number, since it uses less digits than its factorization.

4055500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56522 (or 56510 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4055500416 is about 63682.8109932343. The cubic root of 4055500416 is about 1594.7091402032.

The spelling of 4055500416 in words is "four billion, fifty-five million, five hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 56477 71808 112954 169431 225908 338862 451816 621247 677724 903632 960109 1242494 1355448 1807264 1863741 1920218 2484988 2710896 2880327 3614528 3727482 3840436 4969976 5421792 5760654 7229056 7454964 7680872 9939952 10561199 10843584 11521308 14909928 15361744 19879904 21122398 21687168 23042616 29819856 30723488 31683597 39759808 42244796 46085232 59639712 61446976 63367194 79519616 84489592 92170464 119279424 122893952 126734388 168979184 184340928 238558848 253468776 337958368 368681856 506937552 675916736 1013875104 1351833472 2027750208 4055500416