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20111044404032 = 2631173162736013
BaseRepresentation
bin1001001001010011101111…
…01010000110001101000000
32122012121010021002201000122
410210221313222012031000
510113444404331412112
6110434515233035412
74143655266623021
oct444516752061500
978177107081018
1020111044404032
1164540562aa37a
1223097a40b5b68
13b2b603c9709a
144d754602ac48
1524d2039d1872
hex124a77a86340

20111044404032 has 112 divisors (see below), whose sum is σ = 41459943731712. Its totient is φ = 9668686141440.

The previous prime is 20111044404029. The next prime is 20111044404037. The reversal of 20111044404032 is 23040444011102.

It is a super-4 number, since 4×201110444040324 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111044403992 and 20111044404010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111044404037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558420458 + ... + 558456470.

Almost surely, 220111044404032 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 20111044404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20729971865856).

20111044404032 is an abundant number, since it is smaller than the sum of its proper divisors (21348899327680).

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

20111044404032 is a wasteful number, since it uses less digits than its factorization.

20111044404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37856 (or 37846 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 20111044404032 its reverse (23040444011102), we get a palindrome (43151488415134).

The spelling of 20111044404032 in words is "twenty trillion, one hundred eleven billion, forty-four million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 173 248 346 496 692 992 1384 1627 1984 2768 3254 5363 5536 6508 10726 11072 13016 21452 26032 36013 42904 50437 52064 72026 85808 100874 104128 144052 171616 201748 281471 288104 343232 403496 562942 576208 806992 1116403 1125884 1152416 1613984 2232806 2251768 2304832 3227968 4465612 4503536 6230249 8725601 8931224 9007072 12460498 17451202 17862448 18014144 24920996 34902404 35724896 49841992 58593151 69804808 71449792 99683984 117186302 139609616 193137719 199367968 234372604 279219232 386275438 398735936 468745208 558438464 772550876 937490416 1545101752 1816387681 1874980832 3090203504 3632775362 3749961664 6180407008 7265550724 10136615123 12360814016 14531101448 20273230246 29062202896 40546460492 58124405792 81092920984 116248811584 162185841968 314235068813 324371683936 628470137626 648743367872 1256940275252 2513880550504 5027761101008 10055522202016 20111044404032