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46424009385 = 33513191392233
BaseRepresentation
bin101011001111000101…
…100010101010101001
311102211100222000201000
4223033011202222221
51230034021300020
633154335345213
73232300366065
oct531705425251
9142740860630
1046424009385
1118763163406
128bb7382209
1344bac47c50
142365830aa5
15131a977090
hexacf162aa9

46424009385 has 64 divisors (see below), whose sum is σ = 93558124800. Its totient is φ = 21651992064.

The previous prime is 46424009341. The next prime is 46424009389. The reversal of 46424009385 is 58390042464.

46424009385 is a `hidden beast` number, since 46 + 42 + 400 + 93 + 85 = 666.

46424009385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46424009385 - 210 = 46424008361 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46424009385.

It is not an unprimeable number, because it can be changed into a prime (46424009389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662772 + ... + 729461.

It is an arithmetic number, because the mean of its divisors is an integer number (1461845700).

Almost surely, 246424009385 is an apocalyptic number.

46424009385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46424009385 is an abundant number, since it is smaller than the sum of its proper divisors (47134115415).

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

46424009385 is a wasteful number, since it uses less digits than its factorization.

46424009385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392279 (or 1392273 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46424009385 in words is "forty-six billion, four hundred twenty-four million, nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 1392233 4176699 6961165 12530097 18099029 20883495 26452427 37590291 54297087 62650485 79357281 90495145 132262135 162891261 187951455 238071843 271485435 343881551 396786405 488673783 714215529 814456305 1031644653 1190359215 1719407755 2443368915 3094933959 3571077645 5158223265 9284801877 15474669795 46424009385