Search a number
-
+
54132041320 = 23574716724631
BaseRepresentation
bin110010011010100001…
…010110011001101000
312011201112222121201021
4302122201112121220
51341330300310240
640511245302224
73624304521310
oct623241263150
9164645877637
1054132041320
1120a59142935
12a5a8864974
135148b430a6
142897416440
15161c4ed54a
hexc9a856668

54132041320 has 128 divisors (see below), whose sum is σ = 143015362560. Its totient is φ = 18055169280.

The previous prime is 54132041317. The next prime is 54132041321. The reversal of 54132041320 is 2314023145.

It is not an unprimeable number, because it can be changed into a prime (54132041321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185405 + ... + 2210035.

It is an arithmetic number, because the mean of its divisors is an integer number (1117307520).

Almost surely, 254132041320 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 54132041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71507681280).

54132041320 is an abundant number, since it is smaller than the sum of its proper divisors (88883321240).

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

54132041320 is a wasteful number, since it uses less digits than its factorization.

54132041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24863 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 54132041320 its reverse (2314023145), we get a palindrome (56446064465).

The spelling of 54132041320 in words is "fifty-four billion, one hundred thirty-two million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 167 188 235 280 329 334 376 470 658 668 835 940 1169 1316 1336 1645 1670 1880 2338 2632 3290 3340 4676 5845 6580 6680 7849 9352 11690 13160 15698 23380 24631 31396 39245 46760 49262 54943 62792 78490 98524 109886 123155 156980 172417 197048 219772 246310 274715 313960 344834 439544 492620 549430 689668 862085 985240 1098860 1157657 1379336 1724170 2197720 2315314 3448340 4113377 4630628 5788285 6896680 8103599 8226754 9261256 11576570 16207198 16453508 20566885 23153140 28793639 32414396 32907016 40517995 41133770 46306280 57587278 64828792 81035990 82267540 115174556 143968195 162071980 164535080 193328719 230349112 287936390 324143960 386657438 575872780 773314876 966643595 1151745560 1353301033 1546629752 1933287190 2706602066 3866574380 5413204132 6766505165 7733148760 10826408264 13533010330 27066020660 54132041320