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20100172884 = 223111964112503
BaseRepresentation
bin10010101110000100…
…000100110001010100
31220212211000120121120
4102232010010301110
5312131121013014
613122304243540
71311046436061
oct225604046124
956784016546
1020100172884
118585029430
123a8b6105b0
131b8437c02c
14d8971dc68
157c9956ba9
hex4ae104c54

20100172884 has 96 divisors (see below), whose sum is σ = 53945256960. Its totient is φ = 5760921600.

The previous prime is 20100172867. The next prime is 20100172907. The reversal of 20100172884 is 48827100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1601377 + ... + 1613879.

It is an arithmetic number, because the mean of its divisors is an integer number (561929760).

Almost surely, 220100172884 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 20100172884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26972628480).

20100172884 is an abundant number, since it is smaller than the sum of its proper divisors (33845084076).

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

20100172884 is a wasteful number, since it uses less digits than its factorization.

20100172884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13179 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 20100172884 its reverse (48827100102), we get a palindrome (68927272986).

The spelling of 20100172884 in words is "twenty billion, one hundred million, one hundred seventy-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 641 836 1254 1282 1923 2508 2564 3846 7051 7692 12179 12503 14102 21153 24358 25006 28204 36537 37509 42306 48716 50012 73074 75018 84612 133969 137533 146148 150036 237557 267938 275066 401907 412599 475114 535876 550132 712671 803814 825198 950228 1425342 1607628 1650396 2613127 2850684 5226254 7839381 8014423 10452508 15678762 16028846 24043269 31357524 32057692 48086538 88158653 96173076 152274037 176317306 264475959 304548074 352634612 456822111 528951918 609096148 913644222 1057903836 1675014407 1827288444 3350028814 5025043221 6700057628 10050086442 20100172884