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162058076672 = 29177912
BaseRepresentation
bin1001011011101101101…
…0100000001000000000
3120111022002212021102212
42112323122200020000
510123343331423142
6202240511001252
714464643631512
oct2267332401000
9514262767385
10162058076672
1162801617678
12274a8b09228
131238876967b
147bb4da9bb2
1543374c2d82
hex25bb6a0200

162058076672 has 30 divisors (see below), whose sum is σ = 323817834879. Its totient is φ = 81024483840.

The previous prime is 162058076671. The next prime is 162058076681. The reversal of 162058076672 is 276670850261.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 81029038336 + 81029038336 = 284656^2 + 284656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=284656.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162058076672.

It is not an unprimeable number, because it can be changed into a prime (162058076671) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9100097 + ... + 9117887.

Almost surely, 2162058076672 is an apocalyptic number.

It is an amenable number.

162058076672 is a deficient number, since it is larger than the sum of its proper divisors (161759758207).

162058076672 is an frugal number, since it uses more digits than its factorization.

162058076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35600 (or 17793 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

Multiplying 162058076672 by its sum of digits (50), we get a square (8102903833600 = 28465602).

The spelling of 162058076672 in words is "one hundred sixty-two billion, fifty-eight million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 17791 35582 71164 142328 284656 569312 1138624 2277248 4554496 9108992 316519681 633039362 1266078724 2532157448 5064314896 10128629792 20257259584 40514519168 81029038336 162058076672