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48387247480 = 235111315975297
BaseRepresentation
bin101101000100000110…
…101100110101111000
311121220012010212002001
4231010012230311320
51243044113404410
634121230350344
73332036550235
oct550406546570
9147805125061
1048387247480
1119580381230
12946495b3b4
1347418c05b0
1424b047a78c
1513d2ec733a
hexb441acd78

48387247480 has 128 divisors (see below), whose sum is σ = 128009004480. Its totient is φ = 16228638720.

The previous prime is 48387247453. The next prime is 48387247483. The reversal of 48387247480 is 8474278384.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48387247483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9132192 + ... + 9137488.

Almost surely, 248387247480 is an apocalyptic number.

48387247480 is a gapful number since it is divisible by the number (40) 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 48387247480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64004502240).

48387247480 is an abundant number, since it is smaller than the sum of its proper divisors (79621757000).

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

48387247480 is a wasteful number, since it uses less digits than its factorization.

48387247480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 55.

The spelling of 48387247480 in words is "forty-eight billion, three hundred eighty-seven million, two hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 1597 2860 3194 5297 5720 6388 7985 10594 12776 15970 17567 20761 21188 26485 31940 35134 41522 42376 52970 58267 63880 68861 70268 83044 87835 103805 105940 116534 137722 140536 166088 175670 207610 211880 228371 233068 275444 291335 344305 351340 415220 456742 466136 550888 582670 688610 702680 757471 830440 913484 1141855 1165340 1377220 1514942 1826968 2283710 2330680 2754440 3029884 3787355 4567420 6059768 7574710 8459309 9134840 15149420 16918618 30298840 33837236 42296545 67674472 84593090 93052399 109971017 169186180 186104798 219942034 338372360 372209596 439884068 465261995 549855085 744419192 879768136 930523990 1099710170 1209681187 1861047980 2199420340 2419362374 3722095960 4398840680 4838724748 6048405935 9677449496 12096811870 24193623740 48387247480