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48505658112 = 283341171161
BaseRepresentation
bin101101001011001010…
…011001101100000000
311122012102221201221000
4231023022121230000
51243314422024422
634141100332000
73335005201602
oct551312315400
9148172851830
1048505658112
11196311a795a
129498544000
1347602abc62
1424c20a1172
1513dd5b6cac
hexb4b299b00

48505658112 has 144 divisors (see below), whose sum is σ = 146939153760. Its totient is φ = 15774105600.

The previous prime is 48505658063. The next prime is 48505658147. The reversal of 48505658112 is 21185650584.

48505658112 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 56 + 581 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 197812 + ... + 368972.

It is an arithmetic number, because the mean of its divisors is an integer number (1020410790).

Almost surely, 248505658112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48505658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73469576880).

48505658112 is an abundant number, since it is smaller than the sum of its proper divisors (98433495648).

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

48505658112 is a wasteful number, since it uses less digits than its factorization.

48505658112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171227 (or 171207 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 48505658112 in words is "forty-eight billion, five hundred five million, six hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1728 1968 2214 2304 2624 2952 3456 3936 4428 5248 5904 6912 7872 8856 10496 11808 15744 17712 23616 31488 35424 47232 70848 94464 141696 171161 283392 342322 513483 684644 1026966 1369288 1540449 2053932 2738576 3080898 4107864 4621347 5477152 6161796 7017601 8215728 9242694 10954304 12323592 14035202 16431456 18485388 21052803 21908608 24647184 28070404 32862912 36970776 42105606 43817216 49294368 56140808 63158409 65725824 73941552 84211212 98588736 112281616 126316818 131451648 147883104 168422424 189475227 197177472 224563232 252633636 295766208 336844848 378950454 394354944 449126464 505267272 591532416 673689696 757900908 898252928 1010534544 1183064832 1347379392 1515801816 1796505856 2021069088 2694758784 3031603632 4042138176 5389517568 6063207264 8084276352 12126414528 16168552704 24252829056 48505658112