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20540847100 = 225247103151281
BaseRepresentation
bin10011001000010101…
…000111001111111100
31222000112020010222211
4103020111013033330
5314031424101400
613234125350204
71325010214414
oct231025071774
958015203884
1020540847100
1187908554a4
123b93108364
131c24761cc7
14dcc071644
158034a1dba
hex4c85473fc

20540847100 has 144 divisors (see below), whose sum is σ = 46433028096. Its totient is φ = 7882560000.

The previous prime is 20540847079. The next prime is 20540847133. The reversal of 20540847100 is 174804502.

It is a super-3 number, since 3×205408471003 (a number of 32 digits) contains 333 as substring.

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, 73098960 + ... + 73099240.

It is an arithmetic number, because the mean of its divisors is an integer number (322451584).

Almost surely, 220540847100 is an apocalyptic number.

20540847100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20540847100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216514048).

20540847100 is an abundant number, since it is smaller than the sum of its proper divisors (25892180996).

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

20540847100 is a wasteful number, since it uses less digits than its factorization.

20540847100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 20540847100 in words is "twenty billion, five hundred forty million, eight hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 103 151 188 206 235 281 302 412 470 515 562 604 755 940 1030 1124 1175 1405 1510 2060 2350 2575 2810 3020 3775 4700 4841 5150 5620 7025 7097 7550 9682 10300 13207 14050 14194 15100 15553 19364 24205 26414 28100 28388 28943 31106 35485 42431 48410 52828 57886 62212 66035 70970 77765 84862 96820 115772 121025 132070 141940 144715 155530 169724 177425 212155 242050 264140 289430 311060 330175 354850 388825 424310 484100 578860 660350 709700 723575 730991 777650 848620 1060775 1320700 1360321 1447150 1461982 1555300 1994257 2121550 2720642 2894300 2923964 3654955 3988514 4243100 4370393 5441284 6801605 7309910 7977028 8740786 9971285 13603210 14619820 17481572 18274775 19942570 21851965 27206420 34008025 36549550 39885140 43703930 49856425 68016050 73099100 87407860 99712850 109259825 136032100 199425700 205408471 218519650 410816942 437039300 821633884 1027042355 2054084710 4108169420 5135211775 10270423550 20540847100