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48090646080 = 263451855349
BaseRepresentation
bin101100110010011011…
…010000011001000000
311121010112000221110000
4230302123100121000
51241442201133310
634031553240000
73321505514151
oct546233203100
9147115027400
1048090646080
1119438a09204
1293a1563000
1346c53126c9
142482d0d928
1513b6e3a4c0
hexb326d0640

48090646080 has 140 divisors (see below), whose sum is σ = 171066980700. Its totient is φ = 12824165376.

The previous prime is 48090646073. The next prime is 48090646081. The reversal of 48090646080 is 8064609084.

It is a happy number.

48090646080 is a `hidden beast` number, since 480 + 90 + 6 + 4 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6631170624 + 41459475456 = 81432^2 + 203616^2 .

It is a super-3 number, since 3×480906460803 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48090646081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 901755 + ... + 953594.

It is an arithmetic number, because the mean of its divisors is an integer number (1221907005).

Almost surely, 248090646080 is an apocalyptic number.

48090646080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48090646080 is an abundant number, since it is smaller than the sum of its proper divisors (122976334620).

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

48090646080 is a wasteful number, since it uses less digits than its factorization.

48090646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855378 (or 1855359 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48090646080 in words is "forty-eight billion, ninety million, six hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 1855349 3710698 5566047 7421396 9276745 11132094 14842792 16698141 18553490 22264188 27830235 29685584 33396282 37106980 44528376 50094423 55660470 59371168 66792564 74213960 83490705 89056752 100188846 111320940 118742336 133585128 148427920 150283269 166981410 178113504 200377692 222641880 250472115 267170256 296855840 300566538 333962820 356227008 400755384 445283760 500944230 534340512 593711680 601133076 667925640 751416345 801510768 890567520 1001888460 1068681024 1202266152 1335851280 1502832690 1603021536 1781135040 2003776920 2404532304 2671702560 3005665380 3206043072 4007553840 4809064608 5343405120 6011330760 8015107680 9618129216 12022661520 16030215360 24045323040 48090646080