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48614646720 = 2635106347639
BaseRepresentation
bin101101010001101010…
…001010001111000000
311122111001000221012010
4231101222022033000
51244030322143340
634155552332520
73340500451623
oct552152121700
9148431027163
1048614646720
1119687778692
129508b44140
134779a4bb63
1424d2751dba
1513e7e44b80
hexb51a8a3c0

48614646720 has 112 divisors (see below), whose sum is σ = 154499950080. Its totient is φ = 12951438336.

The previous prime is 48614646701. The next prime is 48614646749. The reversal of 48614646720 is 2764641684.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48614646720.

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, 996661 + ... + 1044299.

It is an arithmetic number, because the mean of its divisors is an integer number (1379463840).

Almost surely, 248614646720 is an apocalyptic number.

48614646720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48614646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77249975040).

48614646720 is an abundant number, since it is smaller than the sum of its proper divisors (105885303360).

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

48614646720 is a wasteful number, since it uses less digits than its factorization.

48614646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48722 (or 48712 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 48614646720 in words is "forty-eight billion, six hundred fourteen million, six hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1063 2126 3189 4252 5315 6378 8504 10630 12756 15945 17008 21260 25512 31890 34016 42520 47639 51024 63780 68032 85040 95278 102048 127560 142917 170080 190556 204096 238195 255120 285834 340160 381112 476390 510240 571668 714585 762224 952780 1020480 1143336 1429170 1524448 1905560 2286672 2858340 3048896 3811120 4573344 5716680 7622240 9146688 11433360 15244480 22866720 45733440 50640257 101280514 151920771 202561028 253201285 303841542 405122056 506402570 607683084 759603855 810244112 1012805140 1215366168 1519207710 1620488224 2025610280 2430732336 3038415420 3240976448 4051220560 4861464672 6076830840 8102441120 9722929344 12153661680 16204882240 24307323360 48614646720