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161993115648 = 21135731373
BaseRepresentation
bin1001011011011110001…
…0101100100000000000
3120111010120121220200000
42112313202230200000
510123230214200043
6202230230400000
714463224523000
oct2266742544000
9514116556600
10161993115648
1162778988481
122748b200000
13123781735b0
147baa4da000
1543319402d3
hex25b78ac800

161993115648 has 1152 divisors, whose sum is σ = 617696352000. Its totient is φ = 42138206208.

The previous prime is 161993115629. The next prime is 161993115653. The reversal of 161993115648 is 846511399161.

161993115648 is a `hidden beast` number, since 1 + 61 + 9 + 9 + 3 + 11 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1619931156483 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1399680) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 161993115594 and 161993115603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2219083740 + ... + 2219083812.

It is an arithmetic number, because the mean of its divisors is an integer number (536194750).

Almost surely, 2161993115648 is an apocalyptic number.

161993115648 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 161993115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308848176000).

161993115648 is an abundant number, since it is smaller than the sum of its proper divisors (455703236352).

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

161993115648 is an frugal number, since it uses more digits than its factorization.

161993115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 161993115648 in words is "one hundred sixty-one billion, nine hundred ninety-three million, one hundred fifteen thousand, six hundred forty-eight".