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20442186716 = 2273192149277
BaseRepresentation
bin10011000010011100…
…110000001111011100
31221202122120200101112
4103002130300033130
5313331144433331
613220243001152
71322401502000
oct230234601734
957678520345
1020442186716
118740099496
123b660691b8
131c0a19a193
14dbcd0c700
157e99b432b
hex4c27303dc

20442186716 has 144 divisors (see below), whose sum is σ = 44485560000. Its totient is φ = 8214369408.

The previous prime is 20442186701. The next prime is 20442186757. The reversal of 20442186716 is 61768124402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73798370 + ... + 73798646.

It is an arithmetic number, because the mean of its divisors is an integer number (308927500).

Almost surely, 220442186716 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 20442186716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22242780000).

20442186716 is an abundant number, since it is smaller than the sum of its proper divisors (24043373284).

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

20442186716 is a wasteful number, since it uses less digits than its factorization.

20442186716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 20442186716 in words is "twenty billion, four hundred forty-two million, one hundred eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 149 196 266 277 298 343 361 532 554 596 686 722 931 1043 1108 1372 1444 1862 1939 2086 2527 2831 3724 3878 4172 5054 5263 5662 6517 7301 7756 10108 10526 11324 13034 13573 14602 17689 19817 21052 26068 27146 29204 35378 36841 39634 41273 51107 53789 54292 70756 73682 79268 82546 95011 99997 102214 107578 123823 138719 147364 165092 190022 199994 204428 215156 247646 257887 277438 288911 376523 380044 399988 495292 515774 554876 577822 699979 753046 784187 971033 1031548 1155644 1399958 1506092 1568374 1805209 1942066 2022377 2635661 2799916 3136748 3610418 3884132 4044754 4899853 5271322 5489309 7220836 8089508 9799706 10542644 10978618 14156639 14899553 18449627 19599412 21957236 28313278 29799106 34298971 36899254 38425163 56626556 59598212 68597942 73798508 76850326 104296871 137195884 153700652 208593742 268976141 417187484 537952282 730078097 1075904564 1460156194 2920312388 5110546679 10221093358 20442186716