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48412923328 = 2671141239611
BaseRepresentation
bin101101000101101000…
…101001010111000000
311121221222110022201101
4231011220221113000
51243122202021303
634123544544144
73332501026030
oct550550512700
9147858408641
1048412923328
1119593918940
129471482054
1347470102c3
1424b3a418c0
1513d5399d1d
hexb45a295c0

48412923328 has 112 divisors (see below), whose sum is σ = 122696679168. Its totient is φ = 18402048000.

The previous prime is 48412923301. The next prime is 48412923337. The reversal of 48412923328 is 82332921484.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×484129233282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82243 + ... + 321853.

It is an arithmetic number, because the mean of its divisors is an integer number (1095506064).

Almost surely, 248412923328 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 48412923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61348339584).

48412923328 is an abundant number, since it is smaller than the sum of its proper divisors (74283755840).

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

48412923328 is a wasteful number, since it uses less digits than its factorization.

48412923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239682 (or 239672 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 48412923328 in words is "forty-eight billion, four hundred twelve million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 154 164 176 224 287 308 328 352 448 451 574 616 656 704 902 1148 1232 1312 1804 2296 2464 2624 3157 3608 4592 4928 6314 7216 9184 12628 14432 18368 25256 28864 50512 101024 202048 239611 479222 958444 1677277 1916888 2635721 3354554 3833776 5271442 6709108 7667552 9824051 10542884 13418216 15335104 18450047 19648102 21085768 26836432 36900094 39296204 42171536 53672864 68768357 73800188 78592408 84343072 107345728 108064561 137536714 147600376 157184816 168686144 216129122 275073428 295200752 314369632 432258244 550146856 590401504 628739264 756451927 864516488 1100293712 1180803008 1512903854 1729032976 2200587424 3025807708 3458065952 4401174848 6051615416 6916131904 12103230832 24206461664 48412923328