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46225360144 = 2417295860213
BaseRepresentation
bin101011000011001111…
…110000010100010000
311102022112011121011201
4223003033300110100
51224132143011034
633122521520544
73224336035555
oct530317602420
9142275147151
1046225360144
1118671013287
128b60943154
134488a44712
1423472c0a2c
1513082d8014
hexac33f0510

46225360144 has 40 divisors (see below), whose sum is σ = 98099982360. Its totient is φ = 21002999808.

The previous prime is 46225360117. The next prime is 46225360193. The reversal of 46225360144 is 44106352264.

It can be written as a sum of positive squares in 4 ways, for example, as 25564172544 + 20661187600 = 159888^2 + 143740^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2922219 + ... + 2937994.

It is an arithmetic number, because the mean of its divisors is an integer number (2452499559).

Almost surely, 246225360144 is an apocalyptic number.

It is an amenable number.

46225360144 is an abundant number, since it is smaller than the sum of its proper divisors (51874622216).

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

46225360144 is a wasteful number, since it uses less digits than its factorization.

46225360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860267 (or 5860261 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 46225360144 in words is "forty-six billion, two hundred twenty-five million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 5860213 11720426 23440852 46881704 93763408 99623621 169946177 199247242 339892354 398494484 679784708 796988968 1359569416 1593977936 2719138832 2889085009 5778170018 11556340036 23112680072 46225360144