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46848045552 = 24371119667123
BaseRepresentation
bin101011101000010111…
…000111000111110000
311110220220212021222020
4223220113013013300
51231421044424202
633304404111440
73245636550120
oct535027070760
9143826767866
1046848045552
1118960556020
1290b5395580
134557a53b19
1423a5c90c80
151342cd75bc
hexae85c71f0

46848045552 has 160 divisors (see below), whose sum is σ = 158828881920. Its totient is φ = 11527868160.

The previous prime is 46848045529. The next prime is 46848045583. The reversal of 46848045552 is 25554084864.

It is a happy number.

46848045552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46848045495 and 46848045504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263338 + ... + 403785.

It is an arithmetic number, because the mean of its divisors is an integer number (992680512).

Almost surely, 246848045552 is an apocalyptic number.

46848045552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46848045552 is an abundant number, since it is smaller than the sum of its proper divisors (111980836368).

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

46848045552 is a wasteful number, since it uses less digits than its factorization.

46848045552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667171 (or 667165 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 51.

The spelling of 46848045552 in words is "forty-six billion, eight hundred forty-eight million, forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 70224 667123 1334246 2001369 2668492 4002738 4669861 5336984 7338353 8005476 9339722 10673968 12675337 14009583 14676706 16010952 18679444 22015059 25350674 28019166 29353412 32021904 37358888 38026011 44030118 50701348 51368471 56038332 58706824 74717776 76052022 88060236 88727359 101402696 102736942 112076664 117413648 139428707 152104044 154105413 176120472 177454718 202805392 205473884 224153328 266182077 278857414 304208088 308210826 352240944 354909436 410947768 418286121 532364154 557714828 608416176 616421652 709818872 821895536 836572242 976000949 1064728308 1115429656 1232843304 1419637744 1673144484 1952001898 2129456616 2230859312 2465686608 2928002847 3346288968 3904003796 4258913232 5856005694 6692577936 7808007592 11712011388 15616015184 23424022776 46848045552