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48740249088 = 293238327617
BaseRepresentation
bin101101011001001001…
…010010111000000000
311122210210101012020200
4231121021102320000
51244310000432323
634220240405200
73343554165366
oct553111227000
9148723335220
1048740249088
11197416665a3
129543016800
134799a87a9b
1425052c9636
151403ea5443
hexb59252e00

48740249088 has 120 divisors (see below), whose sum is σ = 141040044288. Its totient is φ = 16203743232.

The previous prime is 48740249081. The next prime is 48740249099. The reversal of 48740249088 is 88094204784.

48740249088 is a `hidden beast` number, since 4 + 8 + 74 + 0 + 2 + 490 + 88 = 666.

It is a super-2 number, since 2×487402490882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48740249081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1751056 + ... + 1778672.

Almost surely, 248740249088 is an apocalyptic number.

48740249088 is a gapful number since it is divisible by the number (48) 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 48740249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70520022144).

48740249088 is an abundant number, since it is smaller than the sum of its proper divisors (92299795200).

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

48740249088 is a wasteful number, since it uses less digits than its factorization.

48740249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28024 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48740249088 in words is "forty-eight billion, seven hundred forty million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 512 576 766 768 1149 1152 1532 1536 2298 2304 3064 3447 4596 4608 6128 6894 9192 12256 13788 18384 24512 27576 27617 36768 49024 55152 55234 73536 82851 98048 110304 110468 147072 165702 196096 220608 220936 248553 294144 331404 441216 441872 497106 588288 662808 882432 883744 994212 1325616 1764864 1767488 1988424 2651232 3534976 3976848 5302464 7069952 7953696 10577311 10604928 14139904 15907392 21154622 21209856 31731933 31814784 42309244 42419712 63463866 63629568 84618488 95195799 126927732 127259136 169236976 190391598 253855464 338473952 380783196 507710928 676947904 761566392 1015421856 1353895808 1523132784 2030843712 2707791616 3046265568 4061687424 5415583232 6092531136 8123374848 12185062272 16246749696 24370124544 48740249088