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47440444680 = 23325197668929
BaseRepresentation
bin101100001011101010…
…111011110100001000
311112110012120021210200
4230023222323310020
51234124223212210
633443245212200
73266422061226
oct541352736410
9145405507720
1047440444680
1119134992282
12923b861060
1346206bab55
142420819b16
151379d030c0
hexb0babbd08

47440444680 has 96 divisors (see below), whose sum is σ = 154964323800. Its totient is φ = 12586549248.

The previous prime is 47440444679. The next prime is 47440444729. The reversal of 47440444680 is 8644404474.

47440444680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43479756324 + 3960688356 = 208518^2 + 62934^2 .

It is a super-2 number, since 2×474404446802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263545 + ... + 405384.

Almost surely, 247440444680 is an apocalyptic number.

47440444680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47440444680 is an abundant number, since it is smaller than the sum of its proper divisors (107523879120).

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

47440444680 is a wasteful number, since it uses less digits than its factorization.

47440444680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669143 (or 669136 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 47440444680 in words is "forty-seven billion, four hundred forty million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 70920 668929 1337858 2006787 2675716 3344645 4013574 5351432 6020361 6689290 8027148 10033935 12040722 13378580 16054296 20067870 24081444 26757160 30101805 40135740 48162888 60203610 80271480 120407220 131779013 240814440 263558026 395337039 527116052 658895065 790674078 1054232104 1186011117 1317790130 1581348156 1976685195 2372022234 2635580260 3162696312 3953370390 4744044468 5271160520 5930055585 7906740780 9488088936 11860111170 15813481560 23720222340 47440444680