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48354657560 = 23511435035081
BaseRepresentation
bin101101000010001010…
…011000010100011000
311121210220211010002222
4231002022120110120
51243012243020220
634114104043212
73331162544006
oct550212302430
9147726733088
1048354657560
1119563a41a10
129455a63508
134737c1c811
1424a9dd5a76
1513d01dae25
hexb42298518

48354657560 has 128 divisors (see below), whose sum is σ = 121714306560. Its totient is φ = 17137075200.

The previous prime is 48354657511. The next prime is 48354657587. The reversal of 48354657560 is 6575645384.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9514220 + ... + 9519300.

It is an arithmetic number, because the mean of its divisors is an integer number (950893020).

Almost surely, 248354657560 is an apocalyptic number.

48354657560 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 48354657560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60857153280).

48354657560 is an abundant number, since it is smaller than the sum of its proper divisors (73359649000).

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

48354657560 is a wasteful number, since it uses less digits than its factorization.

48354657560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 53.

The spelling of 48354657560 in words is "forty-eight billion, three hundred fifty-four million, six hundred fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 503 860 946 1006 1720 1892 2012 2365 2515 3784 4024 4730 5030 5081 5533 9460 10060 10162 11066 18920 20120 20324 21629 22132 25405 27665 40648 43258 44264 50810 55330 55891 86516 101620 108145 110660 111782 173032 203240 216290 218483 221320 223564 237919 279455 432580 436966 447128 475838 558910 865160 873932 951676 1092415 1117820 1189595 1747864 1903352 2184830 2235640 2379190 2403313 2555743 4369660 4758380 4806626 5111486 8739320 9516760 9613252 10222972 12016565 12778715 19226504 20445944 24033130 25557430 28113173 48066260 51114860 56226346 96132520 102229720 109896949 112452692 140565865 219793898 224905384 281131730 439587796 549484745 562263460 879175592 1098969490 1124526920 1208866439 2197938980 2417732878 4395877960 4835465756 6044332195 9670931512 12088664390 24177328780 48354657560