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48520002048 = 293715232963
BaseRepresentation
bin101101001100000001…
…000111101000000000
311122020102221111002220
4231030001013220000
51243332110031143
634142332011040
73335241132630
oct551401075000
9148212844086
1048520002048
1119639304751
1294a1300a80
134763261aab
1424c3d566c0
1513de99bd83
hexb4c047a00

48520002048 has 160 divisors (see below), whose sum is σ = 147872964096. Its totient is φ = 13849079808.

The previous prime is 48520002001. The next prime is 48520002077. The reversal of 48520002048 is 84020002584.

It is a happy 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, 16373815 + ... + 16376777.

Almost surely, 248520002048 is an apocalyptic number.

48520002048 is a gapful number since it is divisible by the number (48) 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 48520002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73936482048).

48520002048 is an abundant number, since it is smaller than the sum of its proper divisors (99352962048).

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

48520002048 is a wasteful number, since it uses less digits than its factorization.

48520002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 48520002048 in words is "forty-eight billion, five hundred twenty million, two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1523 1536 1792 2688 2963 3046 3584 4569 5376 5926 6092 8889 9138 10661 10752 11852 12184 17778 18276 20741 21322 23704 24368 31983 35556 36552 41482 42644 47408 48736 62223 63966 71112 73104 82964 85288 94816 97472 124446 127932 142224 146208 165928 170576 189632 194944 248892 255864 284448 292416 331856 341152 379264 389888 497784 511728 568896 584832 663712 682304 758528 779776 995568 1023456 1137792 1169664 1327424 1364608 1517056 1991136 2046912 2275584 2339328 2654848 2729216 3982272 4093824 4512649 4551168 5309696 5458432 7964544 8187648 9025298 10619392 13537947 15929088 16375296 18050596 27075894 31588543 31858176 36101192 54151788 63177086 72202384 94765629 108303576 126354172 144404768 189531258 216607152 252708344 288809536 379062516 433214304 505416688 577619072 758125032 866428608 1010833376 1155238144 1516250064 1732857216 2021666752 2310476288 3032500128 3465714432 4043333504 6065000256 6931428864 8086667008 12130000512 16173334016 24260001024 48520002048