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20727241272 = 23325312374391
BaseRepresentation
bin10011010011011100…
…001001101000111000
31222111111221221201200
4103103130021220320
5314422133210042
613304424414200
71332432433563
oct232334115070
958444857650
1020727241272
118876a95171
124025617360
131c5426440a
141008b114da
15814a1ec4c
hex4d3709a38

20727241272 has 96 divisors (see below), whose sum is σ = 57254726880. Its totient is φ = 6771697920.

The previous prime is 20727241259. The next prime is 20727241273. The reversal of 20727241272 is 27214272702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20727241273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4718197 + ... + 4722587.

It is an arithmetic number, because the mean of its divisors is an integer number (596403405).

Almost surely, 220727241272 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 20727241272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627363440).

20727241272 is an abundant number, since it is smaller than the sum of its proper divisors (36527485608).

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

20727241272 is a wasteful number, since it uses less digits than its factorization.

20727241272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 20727241272 in words is "twenty billion, seven hundred twenty-seven million, two hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1237 1272 1908 2474 3711 3816 4391 4948 7422 8782 9896 11133 13173 14844 17564 22266 26346 29688 35128 39519 44532 52692 65561 79038 89064 105384 131122 158076 196683 232723 262244 316152 393366 465446 524488 590049 698169 786732 930892 1180098 1396338 1573464 1861784 2094507 2360196 2792676 4189014 4720392 5431667 5585352 8378028 10863334 16295001 16756056 21726668 32590002 43453336 48885003 65180004 97770006 130360008 195540012 287878351 391080024 575756702 863635053 1151513404 1727270106 2303026808 2590905159 3454540212 5181810318 6909080424 10363620636 20727241272