Search a number
-
+
43010485792 = 2517837391289
BaseRepresentation
bin101000000011100111…
…111110111000100000
311010000110211001122021
4220003213332320200
51201041141021132
631431515551224
73051561045211
oct500347767040
9133013731567
1043010485792
111727133062a
12840415b514
1340959987c1
142120343408
1511bae4c997
hexa039fee20

43010485792 has 96 divisors (see below), whose sum is σ = 90931377600. Its totient is φ = 19953819648.

The previous prime is 43010485667. The next prime is 43010485873. The reversal of 43010485792 is 29758401034.

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 15 ways as a sum of consecutive naturals, for example, 33366684 + ... + 33367972.

It is an arithmetic number, because the mean of its divisors is an integer number (947201850).

Almost surely, 243010485792 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 43010485792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465688800).

43010485792 is an abundant number, since it is smaller than the sum of its proper divisors (47920891808).

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

43010485792 is a wasteful number, since it uses less digits than its factorization.

43010485792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 43010485792 in words is "forty-three billion, ten million, four hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 664 739 1289 1328 1411 1478 2578 2656 2822 2956 5156 5644 5912 10312 11288 11824 12563 20624 21913 22576 23648 25126 41248 43826 45152 50252 61337 87652 100504 106987 122674 175304 201008 213974 245348 350608 402016 427948 490696 701216 855896 952571 981392 1042729 1711792 1818779 1905142 1962784 2085458 3423584 3637558 3810284 4170916 7275116 7620568 8341832 14550232 15241136 16193707 16683664 29100464 30482272 32387414 33367328 58200928 64774828 79063393 129549656 158126786 259099312 316253572 518198624 632507144 1265014288 1344077681 2530028576 2688155362 5376310724 10752621448 21505242896 43010485792