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161632950948 = 2232721743163769
BaseRepresentation
bin1001011010001000010…
…0110001101010100100
3120110012110220122120200
42112202010301222210
510122011013412243
6202130403030500
714451262262100
oct2264204615244
9513173818520
10161632950948
11626036503a7
12273aa66b430
131231b66b8a1
147b74744900
15430eee9ad3
hex25a2131aa4

161632950948 has 432 divisors, whose sum is σ = 518771373120. Its totient is φ = 42138206208.

The previous prime is 161632950943. The next prime is 161632951019. The reversal of 161632950948 is 849059236161.

161632950948 is a `hidden beast` number, since 1 + 61 + 6 + 32 + 9 + 509 + 48 = 666.

161632950948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616329509482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161632950894 and 161632950903.

It is not an unprimeable number, because it can be changed into a prime (161632950943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210185508 + ... + 210186276.

It is an arithmetic number, because the mean of its divisors is an integer number (1200859660).

Almost surely, 2161632950948 is an apocalyptic number.

161632950948 is a gapful number since it is divisible by the number (18) 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 161632950948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259385686560).

161632950948 is an abundant number, since it is smaller than the sum of its proper divisors (357138422172).

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

161632950948 is a wasteful number, since it uses less digits than its factorization.

161632950948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 161632950948 in words is "one hundred sixty-one billion, six hundred thirty-two million, nine hundred fifty thousand, nine hundred forty-eight".