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54541370380 = 22575373100693
BaseRepresentation
bin110010110010111010…
…110100010000001100
312012210002012200121211
4302302322310100030
51343200042323010
641020030504204
73640404666430
oct626272642014
9165702180554
1054541370380
11211491aa912
12a6a1965064
1351b289ca33
1428d59289c0
15164340608a
hexcb2eb440c

54541370380 has 96 divisors (see below), whose sum is σ = 135197403264. Its totient is φ = 18095560704.

The previous prime is 54541370363. The next prime is 54541370423. The reversal of 54541370380 is 8307314545.

It is a super-2 number, since 2×545413703802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491314 + ... + 592006.

It is an arithmetic number, because the mean of its divisors is an integer number (1408306284).

Almost surely, 254541370380 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 54541370380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67598701632).

54541370380 is an abundant number, since it is smaller than the sum of its proper divisors (80656032884).

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

54541370380 is a wasteful number, since it uses less digits than its factorization.

54541370380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100835 (or 100833 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 54541370380 in words is "fifty-four billion, five hundred forty-one million, three hundred seventy thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 73 106 140 146 212 265 292 365 371 511 530 730 742 1022 1060 1460 1484 1855 2044 2555 3710 3869 5110 7420 7738 10220 15476 19345 27083 38690 54166 77380 100693 108332 135415 201386 270830 402772 503465 541660 704851 1006930 1409702 2013860 2819404 3524255 5336729 7048510 7350589 10673458 14097020 14701178 21346916 26683645 29402356 36752945 37357103 51454123 53367290 73505890 74714206 102908246 106734580 147011780 149428412 186785515 205816492 257270615 373571030 389581217 514541230 747142060 779162434 1029082460 1558324868 1947906085 2727068519 3895812170 5454137038 7791624340 10908274076 13635342595 27270685190 54541370380