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41582242680 = 23351131501699
BaseRepresentation
bin100110101110011111…
…101010101101111000
310222022221022210102020
4212232133222231320
51140130023231210
631034055434440
73001306142136
oct465637525570
9128287283366
1041582242680
11166a9101420
128085985a20
133bc8b0b934
14202679c756
151135879770
hex9ae7eab78

41582242680 has 64 divisors (see below), whose sum is σ = 136087344000. Its totient is φ = 10080543360.

The previous prime is 41582242661. The next prime is 41582242703. The reversal of 41582242680 is 8624228514.

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, 15749530 + ... + 15752169.

It is an arithmetic number, because the mean of its divisors is an integer number (2126364750).

Almost surely, 241582242680 is an apocalyptic number.

41582242680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41582242680 is an abundant number, since it is smaller than the sum of its proper divisors (94505101320).

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

41582242680 is a wasteful number, since it uses less digits than its factorization.

41582242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31501724 (or 31501720 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 41582242680 in words is "forty-one billion, five hundred eighty-two million, two hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 31501699 63003398 94505097 126006796 157508495 189010194 252013592 315016990 346518689 378020388 472525485 630033980 693037378 756040776 945050970 1039556067 1260067960 1386074756 1732593445 1890101940 2079112134 2772149512 3465186890 3780203880 4158224268 5197780335 6930373780 8316448536 10395560670 13860747560 20791121340 41582242680