Search a number
-
+
21457983024107 = 737612484732803
BaseRepresentation
bin1001110000100000100110…
…11101001010101111101011
32210222100210201202010002222
410320100103131022233223
510303031422123232412
6113345354502144255
74343200552162310
oct470202335125753
983870721663088
1021457983024107
116923309010563
1224a684b12208b
13bc862c808916
145428014c2d07
15273288631072
hex13841374abeb

21457983024107 has 16 divisors (see below), whose sum is σ = 24531664684032. Its totient is φ = 18386365979520.

The previous prime is 21457983024097. The next prime is 21457983024187. The reversal of 21457983024107 is 70142038975412.

It is a happy number.

It is not a de Polignac number, because 21457983024107 - 210 = 21457983023083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21457983024187) 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 15 ways as a sum of consecutive naturals, for example, 654130568 + ... + 654163370.

It is an arithmetic number, because the mean of its divisors is an integer number (1533229042752).

Almost surely, 221457983024107 is an apocalyptic number.

21457983024107 is a deficient number, since it is larger than the sum of its proper divisors (3073681659925).

21457983024107 is a wasteful number, since it uses less digits than its factorization.

21457983024107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61418.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 21457983024107 in words is "twenty-one trillion, four hundred fifty-seven billion, nine hundred eighty-three million, twenty-four thousand, one hundred seven".

Divisors: 1 7 3761 24847 26327 32803 173929 229621 93449567 123372083 654146969 815056141 863604581 5705392987 3065426146301 21457983024107