Search a number
-
+
104166410250640 = 24535310193361877
BaseRepresentation
bin10111101011110100100001…
…111000010110100110010000
3111122211012201020020211222011
4113223310201320112212100
5102123130302011010030
61005313215505552304
730640526516014063
oct2753644170264620
9448735636224864
10104166410250640
11302107a9a79101
12b824194045694
134617b092672ba
141ba19771468da
15c09919d8ab2a
hex5ebd21e16990

104166410250640 has 80 divisors (see below), whose sum is σ = 242897484356208. Its totient is φ = 41544337522688.

The previous prime is 104166410250631. The next prime is 104166410250647. The reversal of 104166410250640 is 46052014661401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11785324216576 + 92381086034064 = 3432976^2 + 9611508^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 104166410250593 and 104166410250602.

It is not an unprimeable number, because it can be changed into a prime (104166410250647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287669382 + ... + 288031258.

Almost surely, 2104166410250640 is an apocalyptic number.

104166410250640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104166410250640 is an abundant number, since it is smaller than the sum of its proper divisors (138731074105568).

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

104166410250640 is a wasteful number, since it uses less digits than its factorization.

104166410250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372436 (or 372430 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 104166410250640 in words is "one hundred four trillion, one hundred sixty-six billion, four hundred ten million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 7060 10193 14120 20386 28240 40772 50965 81544 101930 163088 203860 361877 407720 723754 815440 1447508 1809385 2895016 3598129 3618770 5790032 7196258 7237540 14392516 14475080 17990645 28785032 28950160 35981290 57570064 71962580 127742581 143925160 255485162 287850320 510970324 638712905 1021940648 1277425810 2043881296 2554851620 3688612261 5109703240 7377224522 10219406480 14754449044 18443061305 29508898088 36886122610 59017796176 73772245220 147544490440 295088980880 1302080128133 2604160256266 5208320512532 6510400640665 10416641025064 13020801281330 20833282050128 26041602562660 52083205125320 104166410250640