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163123213440 = 27351153612389
BaseRepresentation
bin1001011111101011100…
…1101011010010000000
3120121001100002211101210
42113322321223102000
510133034020312230
6202534320330120
714533226302515
oct2277271532200
9517040084353
10163123213440
11631a888a6a0
1227745773940
13124c8331905
147c7663130c
15439ac6deb0
hex25fae6b480

163123213440 has 512 divisors, whose sum is σ = 587646316800. Its totient is φ = 38146867200.

The previous prime is 163123213423. The next prime is 163123213441. The reversal of 163123213440 is 44312321361.

163123213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 163123213398 and 163123213407.

It is not an unprimeable number, because it can be changed into a prime (163123213441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68279766 + ... + 68282154.

Almost surely, 2163123213440 is an apocalyptic number.

163123213440 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 163123213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293823158400).

163123213440 is an abundant number, since it is smaller than the sum of its proper divisors (424523103360).

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

163123213440 is a wasteful number, since it uses less digits than its factorization.

163123213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 163123213440 in words is "one hundred sixty-three billion, one hundred twenty-three million, two hundred thirteen thousand, four hundred forty".