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48718379640 = 23357547110601
BaseRepresentation
bin101101010111110101…
…110111101001111000
311122202021020010000010
4231113311313221320
51244233401122030
634214135541520
73343200252150
oct552765675170
9148667203003
1048718379640
1119730289777
12953782a8a0
13479539b798
142502435760
1514020d56b0
hexb57d77a78

48718379640 has 128 divisors (see below), whose sum is σ = 167080734720. Its totient is φ = 11132544000.

The previous prime is 48718379627. The next prime is 48718379651. The reversal of 48718379640 is 4697381784.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4590340 + ... + 4600940.

It is an arithmetic number, because the mean of its divisors is an integer number (1305318240).

Almost surely, 248718379640 is an apocalyptic number.

48718379640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48718379640 is an abundant number, since it is smaller than the sum of its proper divisors (118362355080).

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

48718379640 is a wasteful number, since it uses less digits than its factorization.

48718379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093 (or 16089 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 48718379640 in words is "forty-eight billion, seven hundred eighteen million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5471 10601 10942 16413 21202 21884 27355 31803 32826 38297 42404 43768 53005 54710 63606 65652 74207 76594 82065 84808 106010 109420 114891 127212 131304 148414 153188 159015 164130 191485 212020 218840 222621 229782 254424 296828 306376 318030 328260 371035 382970 424040 445242 459564 574455 593656 636060 656520 742070 765940 890484 919128 1113105 1148910 1272120 1484140 1531880 1780968 2226210 2297820 2968280 4452420 4595640 8904840 57998071 115996142 173994213 231992284 289990355 347988426 405986497 463984568 579980710 695976852 811972994 869971065 1159961420 1217959491 1391953704 1623945988 1739942130 2029932485 2319922840 2435918982 3247891976 3479884260 4059864970 4871837964 6089797455 6959768520 8119729940 9743675928 12179594910 16239459880 24359189820 48718379640