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4115806656 = 263138319867
BaseRepresentation
bin1111010101010010…
…0011100111000000
3101121211121122022120
43311110203213000
531412121303111
61520224004240
7203664531213
oct36524434700
911554548276
104115806656
1118222a1505
1296a460680
1350790aa70
142b089b77a
151914ed406
hexf55239c0

4115806656 has 112 divisors (see below), whose sum is σ = 11869302144. Its totient is φ = 1251081216.

The previous prime is 4115806633. The next prime is 4115806679. The reversal of 4115806656 is 6566085114.

It is an interprime number because it is at equal distance from previous prime (4115806633) and next prime (4115806679).

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, 197235 + ... + 217101.

It is an arithmetic number, because the mean of its divisors is an integer number (105975912).

Almost surely, 24115806656 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 4115806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934651072).

4115806656 is an abundant number, since it is smaller than the sum of its proper divisors (7753495488).

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

4115806656 is a wasteful number, since it uses less digits than its factorization.

4115806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4115806656 is about 64154.5528859800. The cubic root of 4115806656 is about 1602.5748457996.

The spelling of 4115806656 in words is "four billion, one hundred fifteen million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 664 832 996 1079 1248 1328 1992 2158 2496 2656 3237 3984 4316 5312 6474 7968 8632 12948 15936 17264 19867 25896 34528 39734 51792 59601 69056 79468 103584 119202 158936 207168 238404 258271 317872 476808 516542 635744 774813 953616 1033084 1271488 1549626 1648961 1907232 2066168 3099252 3297922 3814464 4132336 4946883 6198504 6595844 8264672 9893766 12397008 13191688 16529344 19787532 21436493 24794016 26383376 39575064 42872986 49588032 52766752 64309479 79150128 85745972 105533504 128618958 158300256 171491944 257237916 316600512 342983888 514475832 685967776 1028951664 1371935552 2057903328 4115806656