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2144753472 = 26324146351
BaseRepresentation
bin111111111010110…
…0101011101000000
312112110201202122210
41333311211131000
513343024102342
6552453302120
7104102050401
oct17765453500
95473652583
102144753472
11a00726034
124ba334940
1328245a1c4
14164bb99a8
15c845779c
hex7fd65740

2144753472 has 56 divisors (see below), whose sum is σ = 5698329472. Its totient is φ = 711936000.

The previous prime is 2144753461. The next prime is 2144753537. The reversal of 2144753472 is 2743574412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144753472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23097 + ... + 69447.

Almost surely, 22144753472 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 2144753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849164736).

2144753472 is an abundant number, since it is smaller than the sum of its proper divisors (3553576000).

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

2144753472 is a wasteful number, since it uses less digits than its factorization.

2144753472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46607 (or 46597 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 2144753472 is about 46311.4831548289. The cubic root of 2144753472 is about 1289.6121807575.

The spelling of 2144753472 in words is "two billion, one hundred forty-four million, seven hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 15424 23136 46272 46351 92702 139053 185404 278106 370808 556212 741616 1112424 1483232 2224848 2966464 4449696 8899392 11170591 22341182 33511773 44682364 67023546 89364728 134047092 178729456 268094184 357458912 536188368 714917824 1072376736 2144753472