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161663546880 = 29325116110457
BaseRepresentation
bin1001011010001111100…
…1011111011000000000
3120110021121111002022100
42112203321133120000
510122041332000010
6202133414510400
714452113322053
oct2264371373000
9513247432270
10161663546880
11626199485a0
12273b8965400
1312324ac1ba4
147b7882aa9a
154312a402c0
hex25a3e5f600

161663546880 has 480 divisors, whose sum is σ = 620857325088. Its totient is φ = 38544998400.

The previous prime is 161663546879. The next prime is 161663546881. The reversal of 161663546880 is 88645366161.

161663546880 is a `hidden beast` number, since 1 + 6 + 16 + 6 + 3 + 546 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (161663546879) and next prime (161663546881).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1616635468802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161663546881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15454612 + ... + 15465068.

Almost surely, 2161663546880 is an apocalyptic number.

161663546880 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 161663546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310428662544).

161663546880 is an abundant number, since it is smaller than the sum of its proper divisors (459193778208).

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

161663546880 is a wasteful number, since it uses less digits than its factorization.

161663546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 161663546880 in words is "one hundred sixty-one billion, six hundred sixty-three million, five hundred forty-six thousand, eight hundred eighty".