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49132193728 = 2623476171151
BaseRepresentation
bin101101110000100000…
…011100011111000000
311200211002220001012211
4231300200130133000
51301110320144403
634323201231504
73356353520212
oct556040343700
9150732801184
1049132193728
111992292a392
129632332594
1348300389a7
1425413945b2
1514285c706d
hexb7081c7c0

49132193728 has 112 divisors (see below), whose sum is σ = 104159084544. Its totient is φ = 22940825600.

The previous prime is 49132193711. The next prime is 49132193771. The reversal of 49132193728 is 82739123194.

It is a happy number.

It is a congruent number.

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, 42685953 + ... + 42687103.

Almost surely, 249132193728 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 49132193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52079542272).

49132193728 is an abundant number, since it is smaller than the sum of its proper divisors (55026890816).

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

49132193728 is a wasteful number, since it uses less digits than its factorization.

49132193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The spelling of 49132193728 in words is "forty-nine billion, one hundred thirty-two million, one hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 184 188 368 376 617 736 752 1081 1151 1234 1472 1504 2162 2302 2468 3008 4324 4604 4936 8648 9208 9872 14191 17296 18416 19744 26473 28382 28999 34592 36832 39488 52946 54097 56764 57998 69184 73664 105892 108194 113528 115996 211784 216388 227056 231992 423568 432776 454112 463984 666977 710167 847136 865552 908224 927968 1244231 1333954 1420334 1694272 1731104 1855936 2488462 2667908 2840668 3462208 4976924 5335816 5681336 9953848 10671632 11362672 16333841 19907696 21343264 22725344 32667682 33377849 39815392 42686528 45450688 65335364 66755698 79630784 130670728 133511396 261341456 267022792 522682912 534045584 767690527 1045365824 1068091168 1535381054 2136182336 3070762108 6141524216 12283048432 24566096864 49132193728