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161422632000 = 2634537191873
BaseRepresentation
bin1001011001010110001…
…0011110010001000000
3120102122211011100020000
42112111202132101000
510121043143211000
6202053451120000
714443126506240
oct2262542362100
9512584140200
10161422632000
116250595a693
1227350143000
13122b6c107c6
147b54837b20
1542eb803000
hex259589e440

161422632000 has 1120 divisors, whose sum is σ = 718792039680. Its totient is φ = 34936012800.

The previous prime is 161422631999. The next prime is 161422632001. The reversal of 161422632000 is 236224161.

161422632000 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 22 + 632 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161422631999) and next prime (161422632001).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×1614226320002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161422632001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86183064 + ... + 86184936.

Almost surely, 2161422632000 is an apocalyptic number.

161422632000 is a gapful number since it is divisible by the number (10) 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 161422632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359396019840).

161422632000 is an abundant number, since it is smaller than the sum of its proper divisors (557369407680).

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

161422632000 is a wasteful number, since it uses less digits than its factorization.

161422632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 161422632000 its reverse (236224161), we get a palindrome (161658856161).

The spelling of 161422632000 in words is "one hundred sixty-one billion, four hundred twenty-two million, six hundred thirty-two thousand".