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41383848560 = 2454117417247
BaseRepresentation
bin100110100010101010…
…110110101001110000
310221211010000022211212
4212202222312221300
51134223231123220
631002251255252
72663346623465
oct464252665160
9127733008755
1041383848560
1116607115a3a
12802b44a528
133b96997572
1420082b766c
15112323b0c5
hex9a2ab6a70

41383848560 has 80 divisors (see below), whose sum is σ = 98634436992. Its totient is φ = 16138291200.

The previous prime is 41383848553. The next prime is 41383848563. The reversal of 41383848560 is 6584838314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41383848499 and 41383848508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41383848563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5706857 + ... + 5714103.

Almost surely, 241383848560 is an apocalyptic number.

41383848560 is a gapful number since it is divisible by the number (40) 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 41383848560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49317218496).

41383848560 is an abundant number, since it is smaller than the sum of its proper divisors (57250588432).

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

41383848560 is a wasteful number, since it uses less digits than its factorization.

41383848560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9042 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 41383848560 in words is "forty-one billion, three hundred eighty-three million, eight hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 1741 3280 3482 6964 7247 8705 13928 14494 17410 27856 28988 34820 36235 57976 69640 71381 72470 115952 139280 142762 144940 285524 289880 297127 356905 571048 579760 594254 713810 1142096 1188508 1427620 1485635 2377016 2855240 2971270 4754032 5710480 5942540 11885080 12617027 23770160 25234054 50468108 63085135 100936216 126170270 201872432 252340540 504681080 517298107 1009362160 1034596214 2069192428 2586490535 4138384856 5172981070 8276769712 10345962140 20691924280 41383848560