Search a number
-
+
54430030864 = 24112959180749
BaseRepresentation
bin110010101100010010…
…000101110000010000
312012111022201001112001
4302230102011300100
51342433041441424
641001012243344
73634553425426
oct625422056020
9165438631461
1054430030864
11210a1373890
12a670610554
1351957b8a71
1428c4c25116
151638761844
hexcac485c10

54430030864 has 80 divisors (see below), whose sum is σ = 121030200000. Its totient is φ = 23482780160.

The previous prime is 54430030849. The next prime is 54430030867. The reversal of 54430030864 is 46803003445.

It is not an unprimeable number, because it can be changed into a prime (54430030867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210762 + ... + 391510.

It is an arithmetic number, because the mean of its divisors is an integer number (1512877500).

Almost surely, 254430030864 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 54430030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60515100000).

54430030864 is an abundant number, since it is smaller than the sum of its proper divisors (66600169136).

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

54430030864 is a wasteful number, since it uses less digits than its factorization.

54430030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180856 (or 180850 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 54430030864 in words is "fifty-four billion, four hundred thirty million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 59 88 116 118 176 232 236 319 464 472 638 649 944 1276 1298 1711 2552 2596 3422 5104 5192 6844 10384 13688 18821 27376 37642 75284 150568 180749 301136 361498 722996 1445992 1988239 2891984 3976478 5241721 7952956 10483442 10664191 15905912 20966884 21328382 31811824 41933768 42656764 57658931 83867536 85313528 115317862 117306101 170627056 230635724 234612202 309261539 461271448 469224404 618523078 922542896 938448808 1237046156 1876897616 2474092312 3401876929 4948184624 6803753858 13607507716 27215015432 54430030864