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161708935680 = 2933531163463
BaseRepresentation
bin1001011010011010011…
…0101000101000000000
3120110101202220002001000
42112212212220220000
510122134441420210
6202142115412000
714453204162655
oct2264646505000
9513352802030
10161708935680
11626425298a6
122740bbb4000
1312331324476
147b80883c2c
154316a08ac0
hex25a69a8a00

161708935680 has 640 divisors, whose sum is σ = 597858877440. Its totient is φ = 41385738240.

The previous prime is 161708935679. The next prime is 161708935727. The reversal of 161708935680 is 86539807161.

161708935680 is a `hidden beast` number, since 1 + 6 + 1 + 70 + 8 + 9 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1617089356802 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349263129 + ... + 349263591.

It is an arithmetic number, because the mean of its divisors is an integer number (934154496).

Almost surely, 2161708935680 is an apocalyptic number.

161708935680 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 161708935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298929438720).

161708935680 is an abundant number, since it is smaller than the sum of its proper divisors (436149941760).

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

161708935680 is a wasteful number, since it uses less digits than its factorization.

161708935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 161708935680 in words is "one hundred sixty-one billion, seven hundred eight million, nine hundred thirty-five thousand, six hundred eighty".