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48157158060 = 223251134916967
BaseRepresentation
bin101100110110011000…
…111110101010101100
311121022011012002201200
4230312120332222230
51242111213024220
634042331005500
73323244042504
oct546630765254
9147264162650
1048157158060
1119472507690
1293bb899890
13470602c6cb
14248baa4a04
1513bcbc7890
hexb3663eaac

48157158060 has 144 divisors (see below), whose sum is σ = 159424941312. Its totient is φ = 11669443200.

The previous prime is 48157158043. The next prime is 48157158097. The reversal of 48157158060 is 6085175184.

48157158060 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 7 + 1 + 580 + 60 = 666.

It is a super-2 number, since 2×481571580602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48157157997 and 48157158015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6908697 + ... + 6915663.

It is an arithmetic number, because the mean of its divisors is an integer number (1107117648).

Almost surely, 248157158060 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 48157158060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79712470656).

48157158060 is an abundant number, since it is smaller than the sum of its proper divisors (111267783252).

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

48157158060 is a wasteful number, since it uses less digits than its factorization.

48157158060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 48157158060 in words is "forty-eight billion, one hundred fifty-seven million, one hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3491 6967 6982 10473 13934 13964 17455 20901 20946 27868 31419 34835 34910 38401 41802 41892 52365 62703 62838 69670 69820 76637 76802 83604 104505 104730 115203 125406 125676 139340 153274 153604 157095 192005 209010 209460 229911 230406 250812 306548 313515 314190 345609 383185 384010 418020 459822 460812 576015 627030 628380 689733 691218 766370 768020 919644 1149555 1152030 1254060 1379466 1382436 1532740 1728045 2299110 2304060 2758932 3448665 3456090 4598220 6897330 6912180 13794660 24321797 48643594 72965391 97287188 121608985 145930782 218896173 243217970 267539767 291861564 364826955 437792346 486435940 535079534 729653910 802619301 875584692 1070159068 1094480865 1337698835 1459307820 1605238602 2188961730 2407857903 2675397670 3210477204 4013096505 4377923460 4815715806 5350795340 8026193010 9631431612 12039289515 16052386020 24078579030 48157158060