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21958130256 = 2434321414969
BaseRepresentation
bin10100011100110011…
…100111101001010000
32002200022002120222120
4110130303213221100
5324432240132011
614030514534240
71405100012316
oct243463475120
962608076876
1021958130256
119348879297
124309897380
1320bc2823aa
1410c43a20b6
15887b0ca06
hex51cce7a50

21958130256 has 80 divisors (see below), whose sum is σ = 58083157440. Its totient is φ = 7144381440.

The previous prime is 21958130239. The next prime is 21958130287. The reversal of 21958130256 is 65203185912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4416540 + ... + 4421508.

It is an arithmetic number, because the mean of its divisors is an integer number (726039468).

Almost surely, 221958130256 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 21958130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29041578720).

21958130256 is an abundant number, since it is smaller than the sum of its proper divisors (36125027184).

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

21958130256 is a wasteful number, since it uses less digits than its factorization.

21958130256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 21958130256 in words is "twenty-one billion, nine hundred fifty-eight million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2141 4282 4969 6423 8564 9938 12846 14907 17128 19876 25692 29814 34256 39752 51384 59628 79504 92063 102768 119256 184126 213667 238512 276189 368252 427334 552378 641001 736504 854668 1104756 1282002 1473008 1709336 2209512 2564004 3418672 4419024 5128008 10256016 10638629 21277258 31915887 42554516 63831774 85109032 127663548 170218064 255327096 457461047 510654192 914922094 1372383141 1829844188 2744766282 3659688376 5489532564 7319376752 10979065128 21958130256