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54394318368 = 2533132372523
BaseRepresentation
bin110010101010001001…
…110110111000100000
312012101211111200012000
4302222021312320200
51342344421141433
640553255004000
73633641035365
oct625211667040
9165354450160
1054394318368
11210831a1525
12a660669600
13518b293900
1428c01aa46c
15163555a113
hexcaa276e20

54394318368 has 144 divisors (see below), whose sum is σ = 171793167840. Its totient is φ = 16736668416.

The previous prime is 54394318343. The next prime is 54394318387. The reversal of 54394318368 is 86381349345.

54394318368 is a `hidden beast` number, since 543 + 9 + 4 + 31 + 8 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40246 + ... + 332277.

It is an arithmetic number, because the mean of its divisors is an integer number (1193008110).

Almost surely, 254394318368 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 54394318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896583920).

54394318368 is an abundant number, since it is smaller than the sum of its proper divisors (117398849472).

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

54394318368 is a wasteful number, since it uses less digits than its factorization.

54394318368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372568 (or 372541 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 54394318368 in words is "fifty-four billion, three hundred ninety-four million, three hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 11232 12168 16224 18252 24336 36504 48672 73008 146016 372523 745046 1117569 1490092 2235138 2980184 3352707 4470276 4842799 5960368 6705414 8940552 9685598 10058121 11920736 13410828 14528397 17881104 19371196 20116242 26821656 29056794 35762208 38742392 40232484 43585191 53643312 58113588 62956387 77484784 80464968 87170382 107286624 116227176 125912774 130755573 154969568 160929936 174340764 188869161 232454352 251825548 261511146 321859872 348681528 377738322 464908704 503651096 523022292 566607483 697363056 755476644 1007302192 1046044584 1133214966 1394726112 1510953288 1699822449 2014604384 2092089168 2266429932 3021906576 3399644898 4184178336 4532859864 6043813152 6799289796 9065719728 13598579592 18131439456 27197159184 54394318368