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168463370670336 = 283272386292
BaseRepresentation
bin100110010011011101101111…
…010111011101000100000000
3211002110221101221202102022100
4212103131233113131010000
5134040100440342422321
61354143000514510400
750325035241046200
oct4623355727350400
9732427357672270
10168463370670336
114974aa06a04435
1216a893b5b95400
137300048aaaa91
142d85956374400
1514721bb2e6326
hex99376f5dd100

168463370670336 has 243 divisors, whose sum is σ = 565037513552421. Its totient is φ = 48131145603072.

The previous prime is 168463370670289. The next prime is 168463370670367. The reversal of 168463370670336 is 633076073364861.

The square root of 168463370670336 is 12979344.

It is a perfect power (a square), and thus also a powerful number.

168463370670336 is a `hidden beast` number, since 1 + 6 + 8 + 463 + 3 + 70 + 6 + 70 + 3 + 36 = 666.

168463370670336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4582408110336 + 163880962560000 = 2140656^2 + 12801600^2 .

It is a super-2 number, since 2×1684633706703362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4361040270 + ... + 4361078898.

Almost surely, 2168463370670336 is an apocalyptic number.

168463370670336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168463370670336 is the 12979344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168463370670336

168463370670336 is an abundant number, since it is smaller than the sum of its proper divisors (396574142882085).

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

168463370670336 is an frugal number, since it uses more digits than its factorization.

168463370670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77294 (or 38641 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 168463370670336 in words is "one hundred sixty-eight trillion, four hundred sixty-three billion, three hundred seventy million, six hundred seventy thousand, three hundred thirty-six".