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23406222260432 = 2411212089990837
BaseRepresentation
bin1010101001001101011111…
…00100000011100011010000
310001212121112212120201202202
411110212233210003203100
511031441420344313212
6121440400422302332
74634021002354664
oct524465744034320
9101777485521682
1023406222260432
1175045832a3500
1227603485879a8
13100a27459a27b
145acc1d8608a4
152a8cb23b10c2
hex1549af9038d0

23406222260432 has 30 divisors (see below), whose sum is σ = 49847032225074. Its totient is φ = 10639191935680.

The previous prime is 23406222260381. The next prime is 23406222260437.

23406222260432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 23137292895376 + 268929365056 = 4810124^2 + 518584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406222260437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6044993483 + ... + 6044997354.

Almost surely, 223406222260432 is an apocalyptic number.

23406222260432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23406222260432 is an abundant number, since it is smaller than the sum of its proper divisors (26440809964642).

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

23406222260432 is a wasteful number, since it uses less digits than its factorization.

23406222260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089990867 (or 12089990850 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 23406222260432 in words is "twenty-three trillion, four hundred six billion, two hundred twenty-two million, two hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 12089990837 24179981674 48359963348 96719926696 132989899207 193439853392 265979798414 531959596828 1063919193656 1462888891277 2127838387312 2925777782554 5851555565108 11703111130216 23406222260432