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420884332848 = 24337197325333
BaseRepresentation
bin1100001111111101010…
…10010100000100110000
31111020101011010101212000
412013332222110010300
523343432342122343
6521203535534000
742256622541540
oct6077652240460
91436334111760
10420884332848
11152550262811
12696a138a300
13308c62b5445
1416529ac7320
15ae350e8ed3
hex61fea94130

420884332848 has 160 divisors (see below), whose sum is σ = 1453346265600. Its totient is φ = 113923563264.

The previous prime is 420884332823. The next prime is 420884332903. The reversal of 420884332848 is 848233488024.

It is a super-2 number, since 2×4208843328482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 420884332794 and 420884332803.

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, 3605211 + ... + 3720122.

It is an arithmetic number, because the mean of its divisors is an integer number (9083414160).

Almost surely, 2420884332848 is an apocalyptic number.

420884332848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420884332848 is an abundant number, since it is smaller than the sum of its proper divisors (1032461932752).

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

420884332848 is a wasteful number, since it uses less digits than its factorization.

420884332848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325376 (or 7325364 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 420884332848 in words is "four hundred twenty billion, eight hundred eighty-four million, three hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 7325333 14650666 21975999 29301332 43951998 51277331 58602664 65927997 87903996 102554662 117205328 131855994 139181327 153831993 175807992 197783991 205109324 263711988 278362654 307663986 351615984 395567982 410218648 417543981 461495979 527423976 556725308 615327972 791135964 820437296 835087962 922991958 974269289 1054847952 1113450616 1230655944 1252631943 1384487937 1582271928 1670175924 1845983916 1948538578 2226901232 2461311888 2505263886 2768975874 2922807867 3164543856 3340351848 3691967832 3757895829 3897077156 5010527772 5537951748 5845615734 6680703696 7383935664 7515791658 7794154312 8768423601 10021055544 11075903496 11691231468 15031583316 15588308624 17536847202 20042111088 22151806992 23382462936 26305270803 30063166632 35073694404 46764925872 52610541606 60126333264 70147388808 105221083212 140294777616 210442166424 420884332848