Search a number
-
+
104738845672252 = 221121733193835361
BaseRepresentation
bin10111110100001001101001…
…101100001100001100111100
3111201211221021020111020110201
4113310021221230030030330
5102212020123443003002
61010432210023413244
731030063143555601
oct2764115154141474
9451757236436421
10104738845672252
1130411549933a00
12b8b710b5b4224
134659aa526ac9c
141bc155c5c26a8
15c1976ed01087
hex5f4269b0c33c

104738845672252 has 72 divisors (see below), whose sum is σ = 213386348034720. Its totient is φ = 44794550169600.

The previous prime is 104738845672229. The next prime is 104738845672289. The reversal of 104738845672252 is 252276548837401.

It is a congruent number.

It is an unprimeable number.

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, 25391052 + ... + 29226412.

It is an arithmetic number, because the mean of its divisors is an integer number (2963699278260).

Almost surely, 2104738845672252 is an apocalyptic number.

It is an amenable number.

104738845672252 is an abundant number, since it is smaller than the sum of its proper divisors (108647502362468).

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

104738845672252 is a wasteful number, since it uses less digits than its factorization.

104738845672252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838723 (or 3838710 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 64.

The spelling of 104738845672252 in words is "one hundred four trillion, seven hundred thirty-eight billion, eight hundred forty-five million, six hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 3319 4114 6638 8228 13276 36509 56423 73018 112846 146036 225692 401599 620653 803198 1241306 1606396 2482612 3835361 6827183 7670722 13654366 15341444 27308732 42188971 65201137 84377942 130402274 168755884 260804548 464078681 717212507 928157362 1434425014 1856314724 2868850028 7889337577 12729563159 15778675154 25459126318 31557350308 50918252636 140025194749 216402573703 280050389498 432805147406 560100778996 865610294812 1540277142239 2380428310733 3080554284478 4760856621466 6161108568956 9521713242932 26184711418063 52369422836126 104738845672252