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41886828648 = 23337162717027
BaseRepresentation
bin100111000000101001…
…100100100001101000
311000010011110100211000
4213000221210201220
51141241012004043
631124220035000
73011665111650
oct470051444150
9130104410730
1041886828648
1116845028365
12814b992a60
133c46c53c12
142055007360
1511524922d3
hex9c0a64868

41886828648 has 128 divisors (see below), whose sum is σ = 133063603200. Its totient is φ = 11959607232.

The previous prime is 41886828623. The next prime is 41886828671. The reversal of 41886828648 is 84682868814.

41886828648 is a `hidden beast` number, since 418 + 86 + 82 + 8 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2451511 + ... + 2468537.

It is an arithmetic number, because the mean of its divisors is an integer number (1039559400).

Almost surely, 241886828648 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 41886828648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66531801600).

41886828648 is an abundant number, since it is smaller than the sum of its proper divisors (91176774552).

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

41886828648 is a wasteful number, since it uses less digits than its factorization.

41886828648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18676 (or 18666 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 63.

The spelling of 41886828648 in words is "forty-one billion, eight hundred eighty-six million, eight hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1627 3254 4881 6508 9762 11389 13016 14643 17027 19524 22778 29286 34054 34167 39048 43929 45556 51081 58572 68108 68334 87858 91112 102162 102501 117144 119189 136216 136668 153243 175716 204324 205002 238378 273336 306486 307503 351432 357567 408648 410004 459729 476756 612972 615006 715134 820008 919458 953512 1072701 1225944 1230012 1430268 1838916 2145402 2460024 2860536 3218103 3677832 4290804 6436206 8581608 12872412 25744824 27702929 55405858 83108787 110811716 166217574 193920503 221623432 249326361 332435148 387841006 498652722 581761509 664870296 747979083 775682012 997305444 1163523018 1495958166 1551364024 1745284527 1994610888 2327046036 2991916332 3490569054 4654092072 5235853581 5983832664 6981138108 10471707162 13962276216 20943414324 41886828648