Search a number
-
+
43548972126 = 23112973311683
BaseRepresentation
bin101000100011101110…
…001001010001011110
311011102000002000000120
4220203232021101132
51203142014102001
632001153335410
73101120104212
oct504356112136
9134360060016
1043548972126
1117518294360
128534567566
13415040747a
142171a76942
1511ed369236
hexa23b8945e

43548972126 has 64 divisors (see below), whose sum is σ = 99639141120. Its totient is φ = 12567018240.

The previous prime is 43548972109. The next prime is 43548972149. The reversal of 43548972126 is 62127984534.

It is a super-2 number, since 2×435489721262 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16120 + ... + 295563.

It is an arithmetic number, because the mean of its divisors is an integer number (1556861580).

Almost surely, 243548972126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43548972126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49819570560).

43548972126 is an abundant number, since it is smaller than the sum of its proper divisors (56090168994).

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

43548972126 is a wasteful number, since it uses less digits than its factorization.

43548972126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311801.

The product of its digits is 2903040, while the sum is 51.

The spelling of 43548972126 in words is "forty-three billion, five hundred forty-eight million, nine hundred seventy-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 73 87 146 174 219 319 438 638 803 957 1606 1914 2117 2409 4234 4818 6351 12702 23287 46574 69861 139722 311683 623366 935049 1870098 3428513 6857026 9038807 10285539 18077614 20571078 22752859 27116421 45505718 54232842 68258577 99426877 136517154 198853754 250281449 298280631 500562898 596561262 659832911 750844347 1319665822 1501688694 1979498733 3958997466 7258162021 14516324042 21774486063 43548972126