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104013939546 = 2321112712893209
BaseRepresentation
bin110000011011110110…
…1101100001101011010
3100221110220120121011100
41200313231230031122
53201010032031141
6115441111412230
710341363620106
oct1406755541532
9327426517140
10104013939546
1140126180310
12181aa084076
139a682a1bba
14506a1a2906
152a8b8150b6
hex1837b6c35a

104013939546 has 96 divisors (see below), whose sum is σ = 248056473600. Its totient is φ = 31237194240.

The previous prime is 104013939539. The next prime is 104013939581. The reversal of 104013939546 is 645939310401.

104013939546 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 13 + 93 + 9 + 546 = 666.

It is a super-2 number, since 2×1040139395462 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32411590 + ... + 32414798.

It is an arithmetic number, because the mean of its divisors is an integer number (2583921600).

Almost surely, 2104013939546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104013939546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124028236800).

104013939546 is an abundant number, since it is smaller than the sum of its proper divisors (144042534054).

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

104013939546 is a wasteful number, since it uses less digits than its factorization.

104013939546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 104013939546 in words is "one hundred four billion, thirteen million, nine hundred thirty-nine thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1289 1397 2286 2578 2794 3209 3867 4191 6418 7734 8382 9627 11601 12573 14179 19254 23202 25146 28358 28881 35299 42537 57762 70598 85074 105897 127611 163703 211794 255222 317691 327406 407543 491109 635382 815086 982218 1222629 1473327 1800733 2445258 2946654 3601466 3667887 4136401 4482973 5402199 7335774 8272802 8965946 10804398 12409203 13448919 16206597 24818406 26897838 32413194 37227609 40346757 45500411 74455218 80693514 91000822 136501233 273002466 409503699 525322927 819007398 1050645854 1575968781 3151937562 4727906343 5778552197 9455812686 11557104394 17335656591 34671313182 52006969773 104013939546