Search a number
-
+
10104454416 = 243743699367
BaseRepresentation
bin10010110100100010…
…11011110100010000
3222002012022110122110
421122101123310100
5131143220020131
64350353305320
7505253305530
oct113221336420
928065273573
1010104454416
114315779181
121b5bb65240
13c50530614
146bbd934c0
153e2142646
hex25a45bd10

10104454416 has 80 divisors (see below), whose sum is σ = 30526014464. Its totient is φ = 2819843712.

The previous prime is 10104454411. The next prime is 10104454457. The reversal of 10104454416 is 61445440101.

It is not an unprimeable number, because it can be changed into a prime (10104454411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335236 + ... + 364131.

Almost surely, 210104454416 is an apocalyptic number.

10104454416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10104454416 is an abundant number, since it is smaller than the sum of its proper divisors (20421560048).

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

10104454416 is a wasteful number, since it uses less digits than its factorization.

10104454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699428 (or 699422 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10104454416 its reverse (61445440101), we get a palindrome (71549894517).

The spelling of 10104454416 in words is "ten billion, one hundred four million, four hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 699367 1398734 2098101 2797468 4196202 4895569 5594936 8392404 9791138 11189872 14686707 16784808 19582276 29373414 30072781 33569616 39164552 58746828 60145562 78329104 90218343 117493656 120291124 180436686 210509467 234987312 240582248 360873372 421018934 481164496 631528401 721746744 842037868 1263056802 1443493488 1684075736 2526113604 3368151472 5052227208 10104454416