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48662046090 = 23257178343321
BaseRepresentation
bin101101010100011110…
…111110010110001010
311122121100020001220100
4231110132332112022
51244124440433330
634204404310230
73341614365330
oct552436762612
9148540201810
1048662046090
1119701502519
1295209a2376
134786806618
1424d8b6db50
1513ec1a9060
hexb547be58a

48662046090 has 96 divisors (see below), whose sum is σ = 144680230656. Its totient is φ = 11116258560.

The previous prime is 48662046067. The next prime is 48662046109. The reversal of 48662046090 is 9064026684.

48662046090 is a `hidden beast` number, since 4 + 86 + 6 + 20 + 460 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101630 + ... + 1144950.

It is an arithmetic number, because the mean of its divisors is an integer number (1507085736).

Almost surely, 248662046090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48662046090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72340115328).

48662046090 is an abundant number, since it is smaller than the sum of its proper divisors (96018184566).

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

48662046090 is a wasteful number, since it uses less digits than its factorization.

48662046090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45124 (or 45121 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48662046090 in words is "forty-eight billion, six hundred sixty-two million, forty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1783 3566 5349 8915 10698 12481 16047 17830 24962 26745 32094 37443 43321 53490 62405 74886 80235 86642 112329 124810 129963 160470 187215 216605 224658 259926 303247 374430 389889 433210 561645 606494 649815 779778 909741 1123290 1299630 1516235 1819482 1949445 2729223 3032470 3898890 4548705 5458446 9097410 13646115 27292230 77241343 154482686 231724029 386206715 463448058 540689401 695172087 772413430 1081378802 1158620145 1390344174 1622068203 2317240290 2703447005 3244136406 3475860435 4866204609 5406894010 6951720870 8110341015 9732409218 16220682030 24331023045 48662046090