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20096170632 = 233431199719
BaseRepresentation
bin10010101101110100…
…110011101010001000
31220212112111020120000
4102231310303222020
5312124104430012
613122042403000
71311000426516
oct225564635210
956775436500
1020096170632
11858284548a
123a8a200460
131b835aa435
14d88d9b4b6
157c9415ddc
hex4add33a88

20096170632 has 80 divisors (see below), whose sum is σ = 56469441600. Its totient is φ = 6677117280.

The previous prime is 20096170607. The next prime is 20096170637. The reversal of 20096170632 is 23607169002.

20096170632 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 6 + 17 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20096170637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151669 + ... + 251387.

It is an arithmetic number, because the mean of its divisors is an integer number (705868020).

Almost surely, 220096170632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20096170632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234720800).

20096170632 is an abundant number, since it is smaller than the sum of its proper divisors (36373270968).

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

20096170632 is a wasteful number, since it uses less digits than its factorization.

20096170632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100048 (or 100035 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20096170632 in words is "twenty billion, ninety-six million, one hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 311 324 622 648 933 1244 1866 2488 2799 3732 5598 7464 8397 11196 16794 22392 25191 33588 50382 67176 99719 100764 199438 201528 299157 398876 598314 797752 897471 1196628 1794942 2393256 2692413 3589884 5384826 7179768 8077239 10769652 16154478 21539304 31012609 32308956 62025218 64617912 93037827 124050436 186075654 248100872 279113481 372151308 558226962 744302616 837340443 1116453924 1674680886 2232907848 2512021329 3349361772 5024042658 6698723544 10048085316 20096170632