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48420099468 = 223213235976243
BaseRepresentation
bin101101000110000100…
…000001010110001100
311121222110221220112100
4231012010001112030
51243131021140333
634124402435100
73332616024516
oct550604012614
9147873856470
1048420099468
111959797a434
129473962a90
134748653740
1424b498cbb6
1513d5d16213
hexb4610158c

48420099468 has 144 divisors (see below), whose sum is σ = 139874192640. Its totient is φ = 14009010048.

The previous prime is 48420099439. The next prime is 48420099473. The reversal of 48420099468 is 86499002484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596955 + ... + 673197.

It is an arithmetic number, because the mean of its divisors is an integer number (971348560).

Almost surely, 248420099468 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 48420099468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69937096320).

48420099468 is an abundant number, since it is smaller than the sum of its proper divisors (91454093172).

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

48420099468 is a wasteful number, since it uses less digits than its factorization.

48420099468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76348 (or 76343 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 48420099468 in words is "forty-eight billion, four hundred twenty million, ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 59 69 78 92 117 118 138 156 177 207 234 236 276 299 354 414 468 531 598 708 767 828 897 1062 1196 1357 1534 1794 2124 2301 2691 2714 3068 3588 4071 4602 5382 5428 6903 8142 9204 10764 12213 13806 16284 17641 24426 27612 35282 48852 52923 70564 76243 105846 152486 158769 211692 228729 304972 317538 457458 635076 686187 914916 991159 1372374 1753589 1982318 2744748 2973477 3507178 3964636 4498337 5260767 5946954 7014356 8920431 8996674 10521534 11893908 13495011 15782301 17840862 17993348 21043068 22796657 26990022 31564602 35681724 40485033 45593314 53980044 58478381 63129204 68389971 80970066 91186628 103461751 116956762 136779942 161940132 175435143 205169913 206923502 233913524 273559884 310385253 350870286 410339826 413847004 526305429 620770506 701740572 820679652 931155759 1052610858 1241541012 1345002763 1862311518 2105221716 2690005526 3724623036 4035008289 5380011052 8070016578 12105024867 16140033156 24210049734 48420099468