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20272409472 = 273710969191
BaseRepresentation
bin10010111000010101…
…000110101110000000
31221022211010002210110
4102320111012232000
5313004214100342
613151340031320
71315240431420
oct227025065600
957284102713
1020272409472
118663279317
123b19232540
131bb0c65383
14da4556480
157d9b29c9c
hex4b8546b80

20272409472 has 128 divisors (see below), whose sum is σ = 62106739200. Its totient is φ = 5738895360.

The previous prime is 20272409471. The next prime is 20272409501. The reversal of 20272409472 is 27490427202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20272409472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20272409471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258397 + ... + 327587.

It is an arithmetic number, because the mean of its divisors is an integer number (485208900).

Almost surely, 220272409472 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 20272409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053369600).

20272409472 is an abundant number, since it is smaller than the sum of its proper divisors (41834329728).

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

20272409472 is a wasteful number, since it uses less digits than its factorization.

20272409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69324 (or 69312 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 20272409472 in words is "twenty billion, two hundred seventy-two million, four hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 128 168 192 218 224 327 336 384 436 448 654 672 763 872 896 1308 1344 1526 1744 2289 2616 2688 3052 3488 4578 5232 6104 6976 9156 10464 12208 13952 18312 20928 24416 36624 41856 48832 69191 73248 97664 138382 146496 207573 276764 292992 415146 484337 553528 830292 968674 1107056 1453011 1660584 1937348 2214112 2906022 3321168 3874696 4428224 5812044 6642336 7541819 7749392 8856448 11624088 13284672 15083638 15498784 22625457 23248176 26569344 30167276 30997568 45250914 46496352 52792733 60334552 61995136 90501828 92992704 105585466 120669104 158378199 181003656 185985408 211170932 241338208 316756398 362007312 422341864 482676416 633512796 724014624 844683728 965352832 1267025592 1448029248 1689367456 2534051184 2896058496 3378734912 5068102368 6757469824 10136204736 20272409472