Search a number
-
+
21164035744 = 252940156873
BaseRepresentation
bin10011101101011110…
…011000111010100000
32000121221212102002201
4103231132120322200
5321320443120434
613420030422544
71346315223055
oct235536307240
960557772081
1021164035744
118a80601335
124127961a54
131cc38b9497
14104ab3302c
1583d050614
hex4ed798ea0

21164035744 has 48 divisors (see below), whose sum is σ = 43211727720. Its totient is φ = 10191462400.

The previous prime is 21164035733. The next prime is 21164035747. The reversal of 21164035744 is 44753046112.

It can be written as a sum of positive squares in 4 ways, for example, as 19137955600 + 2026080144 = 138340^2 + 45012^2 .

It is not an unprimeable number, because it can be changed into a prime (21164035747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343692 + ... + 400564.

Almost surely, 221164035744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21164035744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605863860).

21164035744 is an abundant number, since it is smaller than the sum of its proper divisors (22047691976).

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

21164035744 is a wasteful number, since it uses less digits than its factorization.

21164035744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57313 (or 57305 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 21164035744 in words is "twenty-one billion, one hundred sixty-four million, thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 401 464 802 928 1604 3208 6416 11629 12832 23258 46516 56873 93032 113746 186064 227492 372128 454984 909968 1649317 1819936 3298634 6597268 13194536 22806073 26389072 45612146 52778144 91224292 182448584 364897168 661376117 729794336 1322752234 2645504468 5291008936 10582017872 21164035744