Search a number
-
+
104714248776552 = 233231178903262237
BaseRepresentation
bin10111110011110010101111…
…100110011110101101101000
3111201202120210001002110210200
4113303302233212132231220
5102211114240141322202
61010413021202512200
731025232462445452
oct2763625746365550
9451676701073720
10104714248776552
11304020775a3128
12b8b23a6065660
1346576853c202c
141bc02a79ab2d2
15c18cd0706e1c
hex5f3caf99eb68

104714248776552 has 96 divisors (see below), whose sum is σ = 292752265428480. Its totient is φ = 33778472307840.

The previous prime is 104714248776551. The next prime is 104714248776589. The reversal of 104714248776552 is 255677842417401.

104714248776552 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 1 + 4 + 2 + 4 + 8 + 7 + 76 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104714248776552.

It is not an unprimeable number, because it can be changed into a prime (104714248776551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399180378 + ... + 399442614.

It is an arithmetic number, because the mean of its divisors is an integer number (3049502764880).

Almost surely, 2104714248776552 is an apocalyptic number.

104714248776552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104714248776552 is an abundant number, since it is smaller than the sum of its proper divisors (188038016651928).

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

104714248776552 is a wasteful number, since it uses less digits than its factorization.

104714248776552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441183 (or 441176 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 104714248776552 in words is "one hundred four trillion, seven hundred fourteen billion, two hundred forty-eight million, seven hundred seventy-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 178903 262237 357806 524474 536709 715612 786711 1048948 1073418 1431224 1573422 1610127 2097896 2146836 2360133 3146844 3220254 4293672 4720266 5545993 6293688 6440508 8129347 9440532 11091986 12881016 16258694 16637979 18881064 22183972 24388041 32517388 33275958 44367944 48776082 49913937 65034776 66551916 73164123 97552164 99827874 133103832 146328246 195104328 199655748 292656492 399311496 585312984 46914986011 93829972022 140744958033 187659944044 281489916066 375319888088 422234874099 562979832132 844469748198 1125959664264 1454364566341 1688939496396 2908729132682 3377878992792 4363093699023 5817458265364 8726187398046 11634916530728 13089281097069 17452374796092 26178562194138 34904749592184 52357124388276 104714248776552