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48971609779482 = 23313592802742187
BaseRepresentation
bin10110010001010000101110…
…11001111010110100011010
320102101122021200112012121000
423020220113121322310122
522404322324100420412
6252053125201525430
713213040066653635
oct1310502731726432
9212348250465530
1048971609779482
111467081a040335
1255ab039043876
1321430067404b0
14c1434a874c1c
1559dce5ca14dc
hex2c8a1767ad1a

48971609779482 has 128 divisors (see below), whose sum is σ = 119190482611200. Its totient is φ = 14811914985408.

The previous prime is 48971609779409. The next prime is 48971609779489. The reversal of 48971609779482 is 28497790617984.

48971609779482 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 1 + 60 + 9 + 7 + 79 + 482 = 666.

48971609779482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×489716097794823 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48971609779489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160801193 + ... + 1160843379.

It is an arithmetic number, because the mean of its divisors is an integer number (931175645400).

Almost surely, 248971609779482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48971609779482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59595241305600).

48971609779482 is an abundant number, since it is smaller than the sum of its proper divisors (70218872831718).

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

48971609779482 is a wasteful number, since it uses less digits than its factorization.

48971609779482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70297 (or 70291 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 48971609779482 in words is "forty-eight trillion, nine hundred seventy-one billion, six hundred nine million, seven hundred seventy-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 6903 13806 20709 28027 41418 42187 56054 84081 84374 126561 168162 252243 253122 364351 379683 504486 548431 728702 756729 759366 1093053 1096862 1139049 1513458 1645293 1653593 2186106 2278098 2489033 3279159 3290586 3307186 4935879 4960779 4978066 6558318 7467099 9837477 9871758 9921558 14807637 14882337 14934198 19674954 21496709 22401297 29615274 29764674 32357429 42993418 44647011 44802594 64490127 64714858 67203891 89294022 97072287 128980254 134407782 193470381 194144574 291216861 386940762 580411143 582433722 873650583 1160822286 1182375049 1747301166 2364750098 3547125147 7094250294 10641375441 15370875637 21282750882 30741751274 31924126323 46112626911 63848252646 69760127891 92225253822 138337880733 139520255782 209280383673 276675761466 415013642199 418560767346 627841151019 830027284398 906881662583 1255682302038 1813763325166 1883523453057 2720644987749 3767046906114 5441289975498 8161934963247 16323869926494 24485804889741 48971609779482