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48918860952 = 233131779116747
BaseRepresentation
bin101101100011110010…
…101001010010011000
311200021020110121122220
4231203302221102120
51300141212022302
634250100544040
73351153312603
oct554362512230
9150236417586
1048918860952
1119823470305
1295929b2020
1347c7a93b90
142520d0133a
1514149d74bc
hexb63ca9498

48918860952 has 128 divisors (see below), whose sum is σ = 141218380800. Its totient is φ = 13987104768.

The previous prime is 48918860899. The next prime is 48918860957. The reversal of 48918860952 is 25906881984.

It is a super-2 number, since 2×489188609522 (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 (48918860957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360643 + ... + 477389.

It is an arithmetic number, because the mean of its divisors is an integer number (1103268600).

Almost surely, 248918860952 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 48918860952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609190400).

48918860952 is an abundant number, since it is smaller than the sum of its proper divisors (92299519848).

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

48918860952 is a wasteful number, since it uses less digits than its factorization.

48918860952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116865 (or 116861 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 48918860952 in words is "forty-eight billion, nine hundred eighteen million, eight hundred sixty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 79 102 104 136 156 158 204 221 237 312 316 408 442 474 632 663 884 948 1027 1326 1343 1768 1896 2054 2652 2686 3081 4029 4108 5304 5372 6162 8058 8216 10744 12324 16116 17459 24648 32232 34918 52377 69836 104754 116747 139672 209508 233494 350241 419016 466988 700482 933976 1400964 1517711 1984699 2801928 3035422 3969398 4553133 5954097 6070844 7938796 9106266 9223013 11908194 12141688 15877592 18212532 18446026 23816388 25801087 27669039 36425064 36892052 47632776 51602174 55338078 73784104 77403261 103204348 110676156 119899169 154806522 156791221 206408696 221352312 239798338 309613044 313582442 359697507 470373663 479596676 619226088 627164884 719395014 940747326 959193352 1254329768 1438790028 1881494652 2038285873 2877580056 3762989304 4076571746 6114857619 8153143492 12229715238 16306286984 24459430476 48918860952