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41299209856 = 2719312412273
BaseRepresentation
bin100110011101100111…
…111110111010000000
310221121012202020101001
4212131213332322000
51134040044203411
630550025221344
72661301330432
oct463547767200
9127535666331
1041299209856
11165733666a3
128007031854
133b822a19a8
141ddad64652
15111aabcdc1
hex99d9fee80

41299209856 has 128 divisors (see below), whose sum is σ = 89810265600. Its totient is φ = 18844876800.

The previous prime is 41299209827. The next prime is 41299209877. The reversal of 41299209856 is 65890299214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 41299209797 and 41299209806.

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, 18168336 + ... + 18170608.

It is an arithmetic number, because the mean of its divisors is an integer number (701642700).

Almost surely, 241299209856 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 41299209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44905132800).

41299209856 is an abundant number, since it is smaller than the sum of its proper divisors (48511055744).

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

41299209856 is a wasteful number, since it uses less digits than its factorization.

41299209856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 41299209856 in words is "forty-one billion, two hundred ninety-nine million, two hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 241 248 304 482 496 589 608 964 992 1178 1216 1928 1984 2273 2356 2432 3856 3968 4546 4579 4712 7471 7712 9092 9158 9424 14942 15424 18184 18316 18848 29884 30848 36368 36632 37696 43187 59768 70463 72736 73264 75392 86374 119536 140926 141949 145472 146528 172748 239072 281852 283898 290944 293056 345496 478144 547793 563704 567796 586112 690992 956288 1095586 1127408 1135592 1338797 1381984 2191172 2254816 2271184 2677594 2763968 4382344 4509632 4542368 5355188 5527936 8764688 9019264 9084736 10408067 10710376 16981583 17529376 18169472 20816134 21420752 33963166 35058752 41632268 42841504 67926332 70117504 83264536 85683008 135852664 166529072 171366016 271705328 322650077 333058144 543410656 645300154 666116288 1086821312 1290600308 1332232576 2173642624 2581200616 5162401232 10324802464 20649604928 41299209856