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46434211340 = 225111941436301
BaseRepresentation
bin101011001111101100…
…011101011000001100
311102212002011100011012
4223033230131120030
51230044124230330
633155342144352
73232453166306
oct531754353014
9142762140135
1046434211340
11187689a1280
128bba8820b8
1344c00aa6ca
142366d28976
15131b7dec95
hexacfb1d60c

46434211340 has 192 divisors, whose sum is σ = 117392647680. Its totient is φ = 15240960000.

The previous prime is 46434211331. The next prime is 46434211363. The reversal of 46434211340 is 4311243464.

It is a super-2 number, since 2×464342113402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46434211297 and 46434211306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7366190 + ... + 7372490.

It is an arithmetic number, because the mean of its divisors is an integer number (611420040).

Almost surely, 246434211340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46434211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58696323840).

46434211340 is an abundant number, since it is smaller than the sum of its proper divisors (70958436340).

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

46434211340 is a wasteful number, since it uses less digits than its factorization.

46434211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 46434211340 in words is "forty-six billion, four hundred thirty-four million, two hundred eleven thousand, three hundred forty".