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54093239340 = 22357222382507
BaseRepresentation
bin110010011000001101…
…010101010000101100
312011121211222021101220
4302120031111100230
51341240332124330
640503341503340
73623323643100
oct623015252054
9164554867356
1054093239340
1120a39250388
12a597871b50
135140aa893a
1428921d5900
151618dd6710
hexc9835542c

54093239340 has 144 divisors (see below), whose sum is σ = 176981640192. Its totient is φ = 12308575104.

The previous prime is 54093239339. The next prime is 54093239399. The reversal of 54093239340 is 4393239045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54093239292 and 54093239301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614367 + ... + 696873.

It is an arithmetic number, because the mean of its divisors is an integer number (1229039168).

Almost surely, 254093239340 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 54093239340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88490820096).

54093239340 is an abundant number, since it is smaller than the sum of its proper divisors (122888400852).

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

54093239340 is a wasteful number, since it uses less digits than its factorization.

54093239340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82756 (or 82747 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 54093239340 in words is "fifty-four billion, ninety-three million, two hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 223 245 294 420 446 490 588 669 735 892 980 1115 1338 1470 1561 2230 2676 2940 3122 3345 4460 4683 6244 6690 7805 9366 10927 13380 15610 18732 21854 23415 31220 32781 43708 46830 54635 65562 82507 93660 109270 131124 163905 165014 218540 247521 327810 330028 412535 495042 577549 655620 825070 990084 1155098 1237605 1650140 1732647 2310196 2475210 2887745 3465294 4042843 4950420 5775490 6930588 8085686 8663235 11550980 12128529 16171372 17326470 18399061 20214215 24257058 34652940 36798122 40428430 48514116 55197183 60642645 73596244 80856860 91995305 110394366 121285290 128793427 183990610 220788732 242570580 257586854 275985915 367981220 386380281 515173708 551971830 643967135 772760562 901553989 1103943660 1287934270 1545521124 1803107978 1931901405 2575868540 2704661967 3606215956 3863802810 4507769945 5409323934 7727605620 9015539890 10818647868 13523309835 18031079780 27046619670 54093239340