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41379760008 = 2333319763709
BaseRepresentation
bin100110100010011011…
…010000011110001000
310221210211022121102000
4212202123100132020
51134221204310013
631002023511000
72663300104506
oct464233203610
9127724277360
1041379760008
1116604883174
128029bb8460
133b95b955c2
142007931676
151122bce973
hex9a26d0788

41379760008 has 128 divisors (see below), whose sum is σ = 119876736000. Its totient is φ = 13210490880.

The previous prime is 41379759989. The next prime is 41379760013. The reversal of 41379760008 is 80006797314.

41379760008 is a `hidden beast` number, since 4 + 1 + 37 + 9 + 7 + 600 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617658 + ... + 681366.

It is an arithmetic number, because the mean of its divisors is an integer number (936537000).

Almost surely, 241379760008 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 41379760008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59938368000).

41379760008 is an abundant number, since it is smaller than the sum of its proper divisors (78496975992).

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

41379760008 is a wasteful number, since it uses less digits than its factorization.

41379760008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63852 (or 63842 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41379760008 in words is "forty-one billion, three hundred seventy-nine million, seven hundred sixty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 97 108 124 186 194 216 248 279 291 372 388 558 582 744 776 837 873 1116 1164 1674 1746 2232 2328 2619 3007 3348 3492 5238 6014 6696 6984 9021 10476 12028 18042 20952 24056 27063 36084 54126 63709 72168 81189 108252 127418 162378 191127 216504 254836 324756 382254 509672 573381 649512 764508 1146762 1529016 1720143 1974979 2293524 3440286 3949958 4587048 5924937 6179773 6880572 7899916 11849874 12359546 13761144 15799832 17774811 18539319 23699748 24719092 35549622 37078638 47399496 49438184 53324433 55617957 71099244 74157276 106648866 111235914 142198488 148314552 166853871 191572963 213297732 222471828 333707742 383145926 426595464 444943656 574718889 667415484 766291852 1149437778 1334830968 1532583704 1724156667 2298875556 3448313334 4597751112 5172470001 6896626668 10344940002 13793253336 20689880004 41379760008