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4055644656 = 243276176521
BaseRepresentation
bin1111000110111100…
…0011100111110000
3101110122102002120100
43301233003213300
531301221112111
61510234312400
7202334260620
oct36157034760
911418362510
104055644656
1117a133a948
12952288700
134c830514b
142a68ba880
1518b0b7756
hexf1bc39f0

4055644656 has 120 divisors (see below), whose sum is σ = 12994641504. Its totient is φ = 1156700160.

The previous prime is 4055644651. The next prime is 4055644667. The reversal of 4055644656 is 6564465504.

4055644656 is a `hidden beast` number, since 4 + 0 + 556 + 4 + 46 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055644651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618676 + ... + 625196.

Almost surely, 24055644656 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 4055644656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497320752).

4055644656 is an abundant number, since it is smaller than the sum of its proper divisors (8938996848).

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

4055644656 is a wasteful number, since it uses less digits than its factorization.

4055644656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The square root of 4055644656 is about 63683.9434708624. The cubic root of 4055644656 is about 1594.7280460591.

The spelling of 4055644656 in words is "four billion, fifty-five million, six hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 617 1008 1234 1851 2468 3702 4319 4936 5553 6521 7404 8638 9872 11106 12957 13042 14808 17276 19563 22212 25914 26084 29616 34552 38871 39126 44424 45647 51828 52168 58689 69104 77742 78252 88848 91294 103656 104336 117378 136941 155484 156504 182588 207312 234756 273882 310968 313008 365176 410823 469512 547764 621936 730352 821646 939024 1095528 1643292 2191056 3286584 4023457 6573168 8046914 12070371 16093828 24140742 28164199 32187656 36211113 48281484 56328398 64375312 72422226 84492597 96562968 112656796 144844452 168985194 193125936 225313592 253477791 289688904 337970388 450627184 506955582 579377808 675940776 1013911164 1351881552 2027822328 4055644656