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48376727760 = 24354720532089
BaseRepresentation
bin101101000011011110…
…100100100011010000
311121212110100101201210
4231003132210203100
51243033420242020
634120213100120
73331551254424
oct550336444320
9147773311653
1048376727760
1119575446649
129461327640
13473c6792ca
1424accdcb84
1513d20ea3e0
hexb437a48d0

48376727760 has 160 divisors (see below), whose sum is σ = 153306616320. Its totient is φ = 12613791744.

The previous prime is 48376727743. The next prime is 48376727821. The reversal of 48376727760 is 6772767384.

It is a self number, because there is not a number n which added to its sum of digits gives 48376727760.

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, 23156796 + ... + 23158884.

It is an arithmetic number, because the mean of its divisors is an integer number (958166352).

Almost surely, 248376727760 is an apocalyptic number.

48376727760 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 48376727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76653308160).

48376727760 is an abundant number, since it is smaller than the sum of its proper divisors (104929888560).

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

48376727760 is a wasteful number, since it uses less digits than its factorization.

48376727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 57.

The spelling of 48376727760 in words is "forty-eight billion, three hundred seventy-six million, seven hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2053 2089 2256 2820 3760 4106 4178 5640 6159 6267 8212 8356 10265 10445 11280 12318 12534 16424 16712 20530 20890 24636 25068 30795 31335 32848 33424 41060 41780 49272 50136 61590 62670 82120 83560 96491 98183 98544 100272 123180 125340 164240 167120 192982 196366 246360 250680 289473 294549 385964 392732 482455 490915 492720 501360 578946 589098 771928 785464 964910 981830 1157892 1178196 1447365 1472745 1543856 1570928 1929820 1963660 2315784 2356392 2894730 2945490 3859640 3927320 4288717 4631568 4712784 5789460 5890980 7719280 7854640 8577434 11578920 11781960 12866151 17154868 21443585 23157840 23563920 25732302 34309736 42887170 51464604 64330755 68619472 85774340 102929208 128661510 171548680 201569699 205858416 257323020 343097360 403139398 514646040 604709097 806278796 1007848495 1029292080 1209418194 1612557592 2015696990 2418836388 3023545485 3225115184 4031393980 4837672776 6047090970 8062787960 9675345552 12094181940 16125575920 24188363880 48376727760