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54435367434 = 23721013175783
BaseRepresentation
bin110010101100100110…
…011100101000001010
312012111200202011220210
4302230212130220022
51342440423224214
641001322501550
73634646663100
oct625446345012
9165450664823
1054435367434
11210a4389278
12a6723648b6
135196936ab6
1428c5813c70
151638e67b59
hexcac99ca0a

54435367434 has 96 divisors (see below), whose sum is σ = 128325119616. Its totient is φ = 15347740800.

The previous prime is 54435367433. The next prime is 54435367447. The reversal of 54435367434 is 43476353445.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54435367433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9410107 + ... + 9415889.

It is an arithmetic number, because the mean of its divisors is an integer number (1336719996).

Almost surely, 254435367434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54435367434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162559808).

54435367434 is an abundant number, since it is smaller than the sum of its proper divisors (73889752182).

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

54435367434 is a wasteful number, since it uses less digits than its factorization.

54435367434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6213 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 48.

The spelling of 54435367434 in words is "fifty-four billion, four hundred thirty-five million, three hundred sixty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 317 606 634 707 951 1414 1902 2121 2219 4242 4438 4949 5783 6657 9898 11566 13314 14847 15533 17349 29694 31066 32017 34698 40481 46599 64034 80962 93198 96051 121443 192102 224119 242886 283367 448238 566734 584083 672357 850101 1168166 1344714 1568833 1700202 1752249 1833211 3137666 3504498 3666422 4088581 4706499 5499633 8177162 9412998 10999266 12265743 12832477 24531486 25664954 28620067 38497431 57240134 76994862 85860201 89827339 171720402 179654678 185154311 269482017 370308622 538964034 555462933 1110925866 1296080177 2592160354 3888240531 7776481062 9072561239 18145122478 27217683717 54435367434