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46466004640 = 2551126401139
BaseRepresentation
bin101011010001100101…
…101111011010100000
311102221021222121100211
4223101211233122200
51230130244122030
633202435423504
73233320344166
oct532145573240
9142837877324
1046466004640
1118784937030
129009454b94
1344c685ca03
14236b243236
15131e4c012a
hexad196f6a0

46466004640 has 48 divisors (see below), whose sum is σ = 119755571040. Its totient is φ = 16896728320.

The previous prime is 46466004569. The next prime is 46466004649. The reversal of 46466004640 is 4640066464.

It is a happy number.

46466004640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46466004593 and 46466004602.

It is not an unprimeable number, because it can be changed into a prime (46466004649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13198810 + ... + 13202329.

It is an arithmetic number, because the mean of its divisors is an integer number (2494907730).

Almost surely, 246466004640 is an apocalyptic number.

46466004640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46466004640 is an abundant number, since it is smaller than the sum of its proper divisors (73289566400).

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

46466004640 is a wasteful number, since it uses less digits than its factorization.

46466004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26401165 (or 26401157 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46466004640 in words is "forty-six billion, four hundred sixty-six million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 26401139 52802278 105604556 132005695 211209112 264011390 290412529 422418224 528022780 580825058 844836448 1056045560 1161650116 1452062645 2112091120 2323300232 2904125290 4224182240 4646600464 5808250580 9293200928 11616501160 23233002320 46466004640