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20717001126 = 234473138693
BaseRepresentation
bin10011010010110101…
…000101100110100110
31222110210200200220000
4103102311011212212
5314412023014001
613303421122130
71332246414123
oct232265054646
958423620800
1020717001126
118871230638
1240220b9346
131c520ba463
14100760774a
15813b9aa86
hex4d2d459a6

20717001126 has 80 divisors (see below), whose sum is σ = 47566056384. Its totient is φ = 6736369536.

The previous prime is 20717001083. The next prime is 20717001161. The reversal of 20717001126 is 62110071702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20717001126.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2378836 + ... + 2387528.

Almost surely, 220717001126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20717001126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783028192).

20717001126 is an abundant number, since it is smaller than the sum of its proper divisors (26849055258).

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

20717001126 is a wasteful number, since it uses less digits than its factorization.

20717001126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 20717001126 its reverse (62110071702), we get a palindrome (82827072828).

The spelling of 20717001126 in words is "twenty billion, seven hundred seventeen million, one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 313 423 626 846 939 1269 1878 2538 2817 3807 5634 7614 8451 8693 14711 16902 17386 25353 26079 29422 44133 50706 52158 78237 88266 132399 156474 234711 264798 397197 408571 469422 704133 794394 817142 1191591 1225713 1408266 2383182 2451426 2720909 3677139 5441818 7354278 8162727 11031417 16325454 22062834 24488181 33094251 48976362 66188502 73464543 127882723 146929086 220393629 255765446 383648169 440787258 767296338 1150944507 2301889014 3452833521 6905667042 10358500563 20717001126