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54552408320 = 2852317310711
BaseRepresentation
bin110010110011100100…
…111011000100000000
312012210211222110211102
4302303210323010000
51343210404031240
641021103233532
73640600551134
oct626344730400
9165724873742
1054552408320
1121154459883
12a6a55a88a8
1351b4c65b67
1428d719d3c4
151644386815
hexcb393b100

54552408320 has 144 divisors (see below), whose sum is σ = 137152334592. Its totient is φ = 20749639680.

The previous prime is 54552408299. The next prime is 54552408437. The reversal of 54552408320 is 2380425545.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087765 + ... + 5098475.

It is an arithmetic number, because the mean of its divisors is an integer number (952446768).

Almost surely, 254552408320 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 54552408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68576167296).

54552408320 is an abundant number, since it is smaller than the sum of its proper divisors (82599926272).

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

54552408320 is a wasteful number, since it uses less digits than its factorization.

54552408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 54552408320 in words is "fifty-four billion, five hundred fifty-two million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 173 184 230 256 320 346 368 460 640 692 736 865 920 1280 1384 1472 1730 1840 2768 2944 3460 3680 3979 5536 5888 6920 7360 7958 10711 11072 13840 14720 15916 19895 21422 22144 27680 29440 31832 39790 42844 44288 53555 55360 63664 79580 85688 107110 110720 127328 159160 171376 214220 221440 246353 254656 318320 342752 428440 492706 509312 636640 685504 856880 985412 1018624 1231765 1273280 1371008 1713760 1853003 1970824 2463530 2546560 2742016 3427520 3706006 3941648 4927060 5093120 6855040 7412012 7883296 9265015 9854120 13710080 14824024 15766592 18530030 19708240 29648048 31533184 37060060 39416480 42619069 59296096 63066368 74120120 78832960 85238138 118592192 148240240 157665920 170476276 213095345 237184384 296480480 315331840 340952552 426190690 474368768 592960960 681905104 852381380 1185921920 1363810208 1704762760 2371843840 2727620416 3409525520 5455240832 6819051040 10910481664 13638102080 27276204160 54552408320