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20164104500 = 2253471396173
BaseRepresentation
bin10010110001110111…
…111101000100110100
31221001021022122022012
4102301313331010310
5312244002321000
613132510423352
71312454026451
oct226167750464
957037278265
1020164104500
118608125181
123aa8b01b58
131b946a46a7
14d94002828
157d0384735
hex4b1dfd134

20164104500 has 96 divisors (see below), whose sum is σ = 45306293760. Its totient is φ = 7835971200.

The previous prime is 20164104451. The next prime is 20164104517. The reversal of 20164104500 is 540146102.

It is a super-2 number, since 2×201641045002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263414 + ... + 3269586.

It is an arithmetic number, because the mean of its divisors is an integer number (471940560).

Almost surely, 220164104500 is an apocalyptic number.

20164104500 is a gapful number since it is divisible by the number (20) 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 20164104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653146880).

20164104500 is an abundant number, since it is smaller than the sum of its proper divisors (25142189260).

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

20164104500 is a wasteful number, since it uses less digits than its factorization.

20164104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 20164104500 in words is "twenty billion, one hundred sixty-four million, one hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 139 188 235 250 278 470 500 556 695 940 1175 1390 2350 2780 3475 4700 5875 6173 6533 6950 11750 12346 13066 13900 17375 23500 24692 26132 30865 32665 34750 61730 65330 69500 123460 130660 154325 163325 290131 308650 326650 580262 617300 653300 771625 816625 858047 1160524 1450655 1543250 1633250 1716094 2901310 3086500 3266500 3432188 4290235 5802620 7253275 8580470 14506550 17160940 21451175 29013100 36266375 40328209 42902350 72532750 80656418 85804700 107255875 145065500 161312836 201641045 214511750 403282090 429023500 806564180 1008205225 2016410450 4032820900 5041026125 10082052250 20164104500