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104166313776 = 24327181570937
BaseRepresentation
bin110000100000011001…
…0111100111100110000
3100221212112022000022100
41201000302330330300
53201313034020101
6115504153340400
710345224025620
oct1410062747460
9327775260270
10104166313776
11401a4194328
1218231107700
139a90a22675
145082508880
152a99db2e86
hex1840cbcf30

104166313776 has 120 divisors (see below), whose sum is σ = 335008148384. Its totient is φ = 29597322240.

The previous prime is 104166313747. The next prime is 104166313777. The reversal of 104166313776 is 677313661401.

104166313776 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 631 + 3 + 7 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (104166313777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103021 + ... + 467916.

Almost surely, 2104166313776 is an apocalyptic number.

104166313776 is a gapful number since it is divisible by the number (16) 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 104166313776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167504074192).

104166313776 is an abundant number, since it is smaller than the sum of its proper divisors (230841834608).

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

104166313776 is a wasteful number, since it uses less digits than its factorization.

104166313776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571139 (or 571130 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 104166313776 in words is "one hundred four billion, one hundred sixty-six million, three hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 252 336 362 504 543 724 1008 1086 1267 1448 1629 2172 2534 2896 3258 3801 4344 5068 6516 7602 8688 10136 11403 13032 15204 20272 22806 26064 30408 45612 60816 91224 182448 570937 1141874 1712811 2283748 3425622 3996559 4567496 5138433 6851244 7993118 9134992 10276866 11989677 13702488 15986236 20553732 23979354 27404976 31972472 35969031 41107464 47958708 63944944 71938062 82214928 95917416 103339597 143876124 191834832 206679194 287752248 310018791 413358388 575504496 620037582 723377179 826716776 930056373 1240075164 1446754358 1653433552 1860112746 2170131537 2480150328 2893508716 3720225492 4340263074 4960300656 5787017432 6510394611 7440450984 8680526148 11574034864 13020789222 14880901968 17361052296 26041578444 34722104592 52083156888 104166313776