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22379934044160 = 212335731117631
BaseRepresentation
bin1010001011010101111000…
…00001001101000000000000
32221020111112002020112222000
411011222330001031000000
510413133101103403120
6115333111052144000
74466616425433000
oct505527401150000
987214462215860
1022379934044160
117149305362640
12261546a768000
13c64559c27994
145752a1d3a000
1528c247d13990
hex145abc04d000

22379934044160 has 3328 divisors, whose sum is σ = 107344300032000. Its totient is φ = 4369888051200.

The previous prime is 22379934044147. The next prime is 22379934044213. The reversal of 22379934044160 is 6144043997322.

22379934044160 is a `hidden beast` number, since 2 + 2 + 3 + 79 + 9 + 3 + 404 + 4 + 160 = 666.

It is a super-2 number, since 2×223799340441602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22379934044097 and 22379934044106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35467407045 + ... + 35467407675.

Almost surely, 222379934044160 is an apocalyptic number.

22379934044160 is a gapful number since it is divisible by the number (20) 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 22379934044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672150016000).

22379934044160 is an abundant number, since it is smaller than the sum of its proper divisors (84964365987840).

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

22379934044160 is a wasteful number, since it uses less digits than its factorization.

22379934044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 22379934044160 in words is "twenty-two trillion, three hundred seventy-nine billion, nine hundred thirty-four million, forty-four thousand, one hundred sixty".