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20078606601 = 3214923172
BaseRepresentation
bin10010101100110001…
…110011100100001001
31220211022102220020100
4102230301303210021
5312110110402401
613120214120013
71310365224444
oct225461634411
956738386210
1020078606601
118573939359
123a84350009
131b7ca6aa11
14d8690865b
157c7ae6b86
hex4acc73909

20078606601 has 27 divisors (see below), whose sum is σ = 29290784341. Its totient is φ = 13253957664.

The previous prime is 20078606567. The next prime is 20078606629. The reversal of 20078606601 is 10660687002.

It is a happy number.

The square root of 20078606601 is 141699.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13896873225 + 6181733376 = 117885^2 + 78624^2 .

It is not a de Polignac number, because 20078606601 - 29 = 20078606089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20078602601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63339295 + ... + 63339611.

Almost surely, 220078606601 is an apocalyptic number.

20078606601 is the 141699-th square number.

20078606601 is the 70850-th centered octagonal number.

It is an amenable number.

20078606601 is a deficient number, since it is larger than the sum of its proper divisors (9212177740).

20078606601 is an frugal number, since it uses more digits than its factorization.

20078606601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 20078606601 by its sum of digits (36), we get a square (722829837636 = 8501942).

The spelling of 20078606601 in words is "twenty billion, seventy-eight million, six hundred six thousand, six hundred one".

Divisors: 1 3 9 149 317 447 951 1341 2853 22201 47233 66603 100489 141699 199809 301467 425097 904401 7037717 14972861 21113151 44918583 63339453 134755749 2230956289 6692868867 20078606601