Search a number
-
+
161879466060 = 2233513314118143
BaseRepresentation
bin1001011011000011000…
…1001010000001001100
3120110211122202220202000
42112300301022001030
510123012120403220
6202211050432300
714460344521044
oct2266061120114
9513748686660
10161879466060
116271a8138a4
1227459132690
131235a761010
147b99394724
154326991390
hex25b0c4a04c

161879466060 has 384 divisors, whose sum is σ = 573547806720. Its totient is φ = 37619251200.

The previous prime is 161879466059. The next prime is 161879466107. The reversal of 161879466060 is 60664978161.

It is a happy number.

161879466060 is a `hidden beast` number, since 16 + 18 + 7 + 9 + 4 + 6 + 606 + 0 = 666.

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 = 161879465988 and 161879466006.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8913349 + ... + 8931491.

It is an arithmetic number, because the mean of its divisors is an integer number (1493614080).

Almost surely, 2161879466060 is an apocalyptic number.

161879466060 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 161879466060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286773903360).

161879466060 is an abundant number, since it is smaller than the sum of its proper divisors (411668340660).

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

161879466060 is a wasteful number, since it uses less digits than its factorization.

161879466060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 161879466060 in words is "one hundred sixty-one billion, eight hundred seventy-nine million, four hundred sixty-six thousand, sixty".