Search a number
-
+
53645514426 = 23271374197417
BaseRepresentation
bin110001111101100001…
…011001011010111010
312010110122111111021200
4301331201121122322
51334331222430201
640351105315030
73606246230460
oct617541313272
9163418444250
1053645514426
1120829548a99
12a491935a76
13509c0c765a
14284c96a830
1515de947386
hexc7d8596ba

53645514426 has 96 divisors (see below), whose sum is σ = 134143551360. Its totient is φ = 15177051648.

The previous prime is 53645514397. The next prime is 53645514427. The reversal of 53645514426 is 62441554635.

53645514426 is a `hidden beast` number, since 5 + 36 + 4 + 551 + 44 + 26 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53645514427) 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, 7229070 + ... + 7236486.

It is an arithmetic number, because the mean of its divisors is an integer number (1397328660).

Almost surely, 253645514426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53645514426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67071775680).

53645514426 is an abundant number, since it is smaller than the sum of its proper divisors (80498036934).

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

53645514426 is a wasteful number, since it uses less digits than its factorization.

53645514426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988 (or 7985 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 53645514426 in words is "fifty-three billion, six hundred forty-five million, five hundred fourteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 419 822 838 959 1233 1257 1918 2466 2514 2877 2933 3771 5754 5866 7417 7542 8631 8799 14834 17262 17598 22251 26397 44502 51919 52794 57403 66753 103838 114806 133506 155757 172209 311514 344418 401821 467271 516627 803642 934542 1016129 1033254 1205463 2032258 2410926 3048387 3107723 3616389 6096774 6215446 7112903 7232778 9145161 9323169 14225806 18290322 18646338 21338709 21754061 27969507 42677418 43508122 55939014 64016127 65262183 128032254 130524366 195786549 391573098 425758051 851516102 1277274153 2554548306 2980306357 3831822459 5960612714 7663644918 8940919071 17881838142 26822757213 53645514426