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22426072656 = 2431339790527
BaseRepresentation
bin10100111000101100…
…101011011001010000
32010212220121112021120
4110320230223121100
5331412033311111
614145152322240
71422511321011
oct247054533120
963786545246
1022426072656
119568a2a349
12441a543380
1321651c1aa0
14112a5b1008
158b3c42406
hex538b2b650

22426072656 has 80 divisors (see below), whose sum is σ = 62548329984. Its totient is φ = 6882872832.

The previous prime is 22426072637. The next prime is 22426072673. The reversal of 22426072656 is 65627062422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202465 + ... + 292991.

Almost surely, 222426072656 is an apocalyptic number.

22426072656 is a gapful number since it is divisible by the number (26) 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 22426072656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31274164992).

22426072656 is an abundant number, since it is smaller than the sum of its proper divisors (40122257328).

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

22426072656 is a wasteful number, since it uses less digits than its factorization.

22426072656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90948 (or 90942 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 22426072656 in words is "twenty-two billion, four hundred twenty-six million, seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 397 624 794 1191 1588 2382 3176 4764 5161 6352 9528 10322 15483 19056 20644 30966 41288 61932 82576 90527 123864 181054 247728 271581 362108 543162 724216 1086324 1176851 1448432 2172648 2353702 3530553 4345296 4707404 7061106 9414808 14122212 18829616 28244424 35939219 56488848 71878438 107817657 143756876 215635314 287513752 431270628 467209847 575027504 862541256 934419694 1401629541 1725082512 1868839388 2803259082 3737678776 5606518164 7475357552 11213036328 22426072656