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161628405120 = 2732574132931
BaseRepresentation
bin1001011010000111001…
…1011011110110000000
3120110012011100200212200
42112201303123312000
510122003332430440
6202130121353200
714451205530000
oct2264163336600
9513164320780
10161628405120
1162601026016
12273a9038800
131231a739750
147b73cc0000
15430e8ecc30
hex25a1cdbd80

161628405120 has 1920 divisors, whose sum is σ = 748767801600. Its totient is φ = 31863767040.

The previous prime is 161628405079. The next prime is 161628405167. The reversal of 161628405120 is 21504826161.

It is a happy number.

161628405120 is a `hidden beast` number, since 1 + 6 + 1 + 62 + 84 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1616284051202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5213819505 + ... + 5213819535.

It is an arithmetic number, because the mean of its divisors is an integer number (389983230).

Almost surely, 2161628405120 is an apocalyptic number.

161628405120 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 161628405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374383900800).

161628405120 is an abundant number, since it is smaller than the sum of its proper divisors (587139396480).

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

161628405120 is a wasteful number, since it uses less digits than its factorization.

161628405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 161628405120 in words is "one hundred sixty-one billion, six hundred twenty-eight million, four hundred five thousand, one hundred twenty".