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48005135040 = 263563977817
BaseRepresentation
bin101100101101010101…
…000011101011000000
311120220120010112100110
4230231111003223000
51241303303310130
634015300351320
73316416625632
oct545525035300
9146816115313
1048005135040
11193a4713525
1293789a5540
1346b06a2a65
142475810a52
1513ae698ab0
hexb2d543ac0

48005135040 has 112 divisors (see below), whose sum is σ = 152459631072. Its totient is φ = 12797730816.

The previous prime is 48005135039. The next prime is 48005135077. The reversal of 48005135040 is 4053150084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48005134989 and 48005135007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6137212 + ... + 6145028.

It is an arithmetic number, because the mean of its divisors is an integer number (1361246706).

Almost surely, 248005135040 is an apocalyptic number.

48005135040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48005135040 is an abundant number, since it is smaller than the sum of its proper divisors (104454496032).

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

48005135040 is a wasteful number, since it uses less digits than its factorization.

48005135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14234 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 48005135040 in words is "forty-eight billion, five million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 6397 7817 12794 15634 19191 23451 25588 31268 31985 38382 39085 46902 51176 62536 63970 76764 78170 93804 95955 102352 117255 125072 127940 153528 156340 187608 191910 204704 234510 250144 255880 307056 312680 375216 383820 409408 469020 500288 511760 614112 625360 750432 767640 938040 1023520 1228224 1250720 1500864 1535280 1876080 2047040 2501440 3070560 3752160 6141120 7504320 50005349 100010698 150016047 200021396 250026745 300032094 400042792 500053490 600064188 750080235 800085584 1000106980 1200128376 1500160470 1600171168 2000213960 2400256752 3000320940 3200342336 4000427920 4800513504 6000641880 8000855840 9601027008 12001283760 16001711680 24002567520 48005135040