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22981194253152 = 253279795813379
BaseRepresentation
bin1010011100110101110011…
…11010111000001101100000
310000100222110221101212012100
411032122321322320031200
511003010441212100102
6120513225341130400
74561223263043502
oct516327172701540
9100328427355170
1022981194253152
1173602a7045873
1226b1aab559a00
13ca916a99a785
1459641d703d72
1529cbd8611a1c
hex14e6b9eb8360

22981194253152 has 36 divisors (see below), whose sum is σ = 65352771158220. Its totient is φ = 7660398084288.

The previous prime is 22981194253111. The next prime is 22981194253153. The reversal of 22981194253152 is 25135249118922.

It is a happy number.

22981194253152 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 1 + 19 + 42 + 531 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×229811942531522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22981194253153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39897906402 + ... + 39897906977.

It is an arithmetic number, because the mean of its divisors is an integer number (1815354754395).

Almost surely, 222981194253152 is an apocalyptic number.

It is an amenable number.

22981194253152 is an abundant number, since it is smaller than the sum of its proper divisors (42371576905068).

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

22981194253152 is a wasteful number, since it uses less digits than its factorization.

22981194253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79795813395 (or 79795813384 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 22981194253152 in words is "twenty-two trillion, nine hundred eighty-one billion, one hundred ninety-four million, two hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 79795813379 159591626758 239387440137 319183253516 478774880274 638366507032 718162320411 957549760548 1276733014064 1436324640822 1915099521096 2553466028128 2872649281644 3830199042192 5745298563288 7660398084384 11490597126576 22981194253152