Search a number
-
+
10684780752 = 2431997111467
BaseRepresentation
bin10011111001101110…
…01101000011010000
31000120122022002201110
421330313031003100
5133340300441002
64524123533320
7525531065202
oct117467150320
930518262643
1010684780752
114593309a18
1220a238a240
13101382b499
14735098772
15428075e6c
hex27cdcd0d0

10684780752 has 40 divisors (see below), whose sum is σ = 27616419936. Its totient is φ = 3559778176.

The previous prime is 10684780723. The next prime is 10684780753. The reversal of 10684780752 is 25708748601.

10684780752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106847807522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684780753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40123 + ... + 151589.

Almost surely, 210684780752 is an apocalyptic number.

10684780752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10684780752 is an abundant number, since it is smaller than the sum of its proper divisors (16931639184).

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

10684780752 is a wasteful number, since it uses less digits than its factorization.

10684780752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113475 (or 113469 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 10684780752 in words is "ten billion, six hundred eighty-four million, seven hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1997 3994 5991 7988 11982 15976 23964 31952 47928 95856 111467 222934 334401 445868 668802 891736 1337604 1783472 2675208 5350416 222599599 445199198 667798797 890398396 1335597594 1780796792 2671195188 3561593584 5342390376 10684780752