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54609744336 = 24373115134721
BaseRepresentation
bin110010110110111111…
…101001000111010000
312012221211212110001120
4302312333221013100
51343320043304321
641030512202240
73642165111420
oct626677510720
9165854773046
1054609744336
1121183860214
12a700839380
1351c3abc3b4
142900a46480
15164940eec6
hexcb6fe91d0

54609744336 has 160 divisors (see below), whose sum is σ = 167536705536. Its totient is φ = 14999040000.

The previous prime is 54609744313. The next prime is 54609744377. The reversal of 54609744336 is 63344790645.

It is a happy number.

It is a congruent number.

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, 1555456 + ... + 1590176.

Almost surely, 254609744336 is an apocalyptic number.

54609744336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54609744336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83768352768).

54609744336 is an abundant number, since it is smaller than the sum of its proper divisors (112926961200).

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

54609744336 is a wasteful number, since it uses less digits than its factorization.

54609744336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34921 (or 34915 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 54609744336 in words is "fifty-four billion, six hundred nine million, seven hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 151 168 186 217 248 302 336 372 434 453 496 604 651 744 868 906 1057 1208 1302 1488 1736 1812 2114 2416 2604 3171 3472 3624 4228 4681 5208 6342 7248 8456 9362 10416 12684 14043 16912 18724 25368 28086 32767 34721 37448 50736 56172 65534 69442 74896 98301 104163 112344 131068 138884 196602 208326 224688 243047 262136 277768 393204 416652 486094 524272 555536 729141 786408 833304 972188 1076351 1458282 1572816 1666608 1944376 2152702 2916564 3229053 3888752 4305404 5242871 5833128 6458106 7534457 8610808 10485742 11666256 12916212 15068914 15728613 17221616 20971484 22603371 25832424 30137828 31457226 36700097 41942968 45206742 51664848 60275656 62914452 73400194 83885936 90413484 110100291 120551312 125828904 146800388 162529001 180826968 220200582 251657808 293600776 325058002 361653936 440401164 487587003 587201552 650116004 880802328 975174006 1137703007 1300232008 1761604656 1950348012 2275406014 2600464016 3413109021 3900696024 4550812028 6826218042 7801392048 9101624056 13652436084 18203248112 27304872168 54609744336