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20963487042 = 23641615749
BaseRepresentation
bin10011100001100001…
…010110110101000010
32000002222111111000000
4103201201112311002
5320413123041132
613344104140430
71341331462011
oct234141266502
960088444000
1020963487042
118988384103
124090767716
131c9119c504
14102c24aa78
1582a63887c
hex4e1856d42

20963487042 has 112 divisors (see below), whose sum is σ = 49096467000. Its totient is φ = 6704467200.

The previous prime is 20963487019. The next prime is 20963487043. The reversal of 20963487042 is 24078436902.

20963487042 is a `hidden beast` number, since 2 + 0 + 9 + 634 + 8 + 7 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1455498801 + 19507988241 = 38151^2 + 139671^2 .

It is not an unprimeable number, because it can be changed into a prime (20963487043) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3643584 + ... + 3649332.

Almost surely, 220963487042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20963487042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548233500).

20963487042 is an abundant number, since it is smaller than the sum of its proper divisors (28132979958).

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

20963487042 is an equidigital number, since it uses as much as digits as its factorization.

20963487042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20963487042 in words is "twenty billion, nine hundred sixty-three million, four hundred eighty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 61 81 82 122 123 162 183 243 246 366 369 486 549 729 738 1098 1107 1458 1647 2214 2501 3294 3321 4941 5002 5749 6642 7503 9882 9963 11498 14823 15006 17247 19926 22509 29646 29889 34494 44469 45018 51741 59778 67527 88938 103482 135054 155223 202581 235709 310446 350689 405162 465669 471418 607743 701378 707127 931338 1052067 1215486 1397007 1414254 1823229 2104134 2121381 2794014 3156201 3646458 4191021 4242762 6312402 6364143 8382042 9468603 12728286 14378249 18937206 19092429 28405809 28756498 38184858 43134747 56811618 57277287 85217427 86269494 114554574 129404241 170434854 171831861 255652281 258808482 343663722 388212723 511304562 776425446 1164638169 2329276338 3493914507 6987829014 10481743521 20963487042