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41741806848 = 283721613593
BaseRepresentation
bin100110111000000000…
…010110110100000000
310222202001120111022020
4212320000112310000
51140441400304343
631101555441440
73005254334610
oct467000266400
9128661514266
1041741806848
1116780186335
12810b2b6280
133c22ba8bc1
14203da56a40
151144897b83
hex9b8016d00

41741806848 has 144 divisors (see below), whose sum is σ = 127058768256. Its totient is φ = 11917393920.

The previous prime is 41741806837. The next prime is 41741806871. The reversal of 41741806848 is 84860814714.

It is a self number, because there is not a number n which added to its sum of digits gives 41741806848.

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, 11615740 + ... + 11619332.

Almost surely, 241741806848 is an apocalyptic number.

41741806848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41741806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63529384128).

41741806848 is an abundant number, since it is smaller than the sum of its proper divisors (85316961408).

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

41741806848 is a wasteful number, since it uses less digits than its factorization.

41741806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 41741806848 in words is "forty-one billion, seven hundred forty-one million, eight hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2161 2688 3593 4322 5376 6483 7186 8644 10779 12966 14372 15127 17288 21558 25151 25932 28744 30254 34576 43116 45381 50302 51864 57488 60508 69152 75453 86232 90762 100604 103728 114976 121016 138304 150906 172464 181524 201208 207456 229952 242032 276608 301812 344928 363048 402416 414912 459904 484064 553216 603624 689856 726096 804832 829824 919808 968128 1207248 1379712 1452192 1609664 1659648 1936256 2414496 2759424 2904384 3219328 3872512 4828992 5808768 6438656 7764473 9657984 11617536 15528946 19315968 23293419 31057892 46586838 54351311 62115784 93173676 108702622 124231568 163053933 186347352 217405244 248463136 326107866 372694704 434810488 496926272 652215732 745389408 869620976 993852544 1304431464 1490778816 1739241952 1987705088 2608862928 2981557632 3478483904 5217725856 5963115264 6956967808 10435451712 13913935616 20870903424 41741806848