Search a number
-
+
472909019638104 = 233271439652058059
BaseRepresentation
bin110101110000110111011011…
…0001000000110100101011000
32022000102122211200112220120100
41223201232312020012211120
5443441120133011404404
64353443223205055400
7201416356235346120
oct15341566610064530
92260378750486510
10472909019638104
11127757652966a65
1245058b299b7560
13173b518ab0c98a
1484accc0bcdc80
1539a16aedd8d39
hex1ae1bb6206958

472909019638104 has 96 divisors (see below), whose sum is σ = 1464783225984000. Its totient is φ = 135022966186176.

The previous prime is 472909019638063. The next prime is 472909019638109. The reversal of 472909019638104 is 401836910909274.

472909019638104 is a `hidden beast` number, since 4 + 72 + 90 + 90 + 19 + 6 + 381 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472909019638109) 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 23 ways as a sum of consecutive naturals, for example, 325303774 + ... + 326754285.

It is an arithmetic number, because the mean of its divisors is an integer number (15258158604000).

Almost surely, 2472909019638104 is an apocalyptic number.

It is an amenable number.

472909019638104 is an abundant number, since it is smaller than the sum of its proper divisors (991874206345896).

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

472909019638104 is a wasteful number, since it uses less digits than its factorization.

472909019638104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652059517 (or 652059510 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 472909019638104 in words is "four hundred seventy-two trillion, nine hundred nine billion, nineteen million, six hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1439 2878 4317 5756 8634 10073 11512 12951 17268 20146 25902 30219 34536 40292 51804 60438 80584 90657 103608 120876 181314 241752 362628 725256 652058059 1304116118 1956174177 2608232236 3912348354 4564406413 5216464472 5868522531 7824696708 9128812826 11737045062 13693219239 15649393416 18257625652 23474090124 27386438478 36515251304 41079657717 46948180248 54772876956 82159315434 109545753912 164318630868 328637261736 938311546901 1876623093802 2814934640703 3753246187604 5629869281406 6568180828307 7506492375208 8444803922109 11259738562812 13136361656614 16889607844218 19704542484921 22519477125624 26272723313228 33779215688436 39409084969842 52545446626456 59113627454763 67558431376872 78818169939684 118227254909526 157636339879368 236454509819052 472909019638104