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46643421136 = 24132313771167
BaseRepresentation
bin101011011100001010…
…100001111111010000
311110101122211022001011
4223130022201333100
51231011203434021
633232214220304
73240603352354
oct533412417720
9143348738034
1046643421136
1118865aa4734
129058954694
13452453a9a0
142386a27464
15132ed67de1
hexadc2a1fd0

46643421136 has 80 divisors (see below), whose sum is σ = 102297452544. Its totient is φ = 20441152512.

The previous prime is 46643421059. The next prime is 46643421137. The reversal of 46643421136 is 63112434664.

46643421136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46643421137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619825 + ... + 690991.

Almost surely, 246643421136 is an apocalyptic number.

46643421136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46643421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148726272).

46643421136 is an abundant number, since it is smaller than the sum of its proper divisors (55654031408).

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

46643421136 is a wasteful number, since it uses less digits than its factorization.

46643421136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71348 (or 71342 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The spelling of 46643421136 in words is "forty-six billion, six hundred forty-three million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 137 184 208 274 299 368 548 598 1096 1196 1781 2192 2392 3151 3562 4784 6302 7124 12604 14248 25208 28496 40963 50416 71167 81926 142334 163852 284668 327704 569336 655408 925171 1138672 1636841 1850342 3273682 3700684 6547364 7401368 9749879 13094728 14802736 19499758 21278933 26189456 38999516 42557866 77999032 85115732 126748427 155998064 170231464 224247217 253496854 340462928 448494434 506993708 896988868 1013987416 1793977736 2027974832 2915213821 3587955472 5830427642 11660855284 23321710568 46643421136