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48368613040 = 24511312576899
BaseRepresentation
bin101101000010111111…
…100111011010110000
311121211220002010102121
4231002333213122300
51243024331104130
634115323124024
73331422266356
oct550277473260
9147756063377
1048368613040
1119570903970
12945a673614
13473aa978b7
1424abbc97d6
1513d1545d7a
hexb42fe76b0

48368613040 has 160 divisors (see below), whose sum is σ = 127149004800. Its totient is φ = 16952524800.

The previous prime is 48368613037. The next prime is 48368613049. The reversal of 48368613040 is 4031686384.

It is not an unprimeable number, because it can be changed into a prime (48368613049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7007511 + ... + 7014409.

It is an arithmetic number, because the mean of its divisors is an integer number (794681280).

Almost surely, 248368613040 is an apocalyptic number.

48368613040 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 48368613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63574502400).

48368613040 is an abundant number, since it is smaller than the sum of its proper divisors (78780391760).

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

48368613040 is a wasteful number, since it uses less digits than its factorization.

48368613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 48368613040 in words is "forty-eight billion, three hundred sixty-eight million, six hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 257 310 341 440 496 514 620 682 880 1028 1240 1285 1364 1705 2056 2480 2570 2728 2827 3410 4112 5140 5456 5654 6820 6899 7967 10280 11308 13640 13798 14135 15934 20560 22616 27280 27596 28270 31868 34495 39835 45232 55192 56540 63736 68990 75889 79670 87637 110384 113080 127472 137980 151778 159340 175274 213869 226160 275960 303556 318680 350548 379445 427738 438185 551920 607112 637360 701096 758890 855476 876370 1069345 1214224 1402192 1517780 1710952 1752740 1773043 2138690 2352559 3035560 3421904 3505480 3546086 4277380 4705118 6071120 7010960 7092172 8554760 8865215 9410236 11762795 14184344 17109520 17730430 18820472 19503473 23525590 28368688 35460860 37640944 39006946 47051180 54964333 70921720 78013892 94102360 97517365 109928666 141843440 156027784 188204720 195034730 219857332 274821665 312055568 390069460 439714664 549643330 604607663 780138920 879429328 1099286660 1209215326 1560277840 2198573320 2418430652 3023038315 4397146640 4836861304 6046076630 9673722608 12092153260 24184306520 48368613040