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20540570008 = 237171910710613
BaseRepresentation
bin10011001000010100…
…000011100110011000
31222000111201001220011
4103020110003212120
5314031341220013
613234115411304
71325004651520
oct231024034630
958014631804
1020540570008
1187906862a2
123b92bb3b34
131c24695b4a
14dcbddc680
15803449c3d
hex4c8503998

20540570008 has 128 divisors (see below), whose sum is σ = 49520678400. Its totient is φ = 7775115264.

The previous prime is 20540569997. The next prime is 20540570009. The reversal of 20540570008 is 80007504502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540570009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930110 + ... + 1940722.

It is an arithmetic number, because the mean of its divisors is an integer number (386880300).

Almost surely, 220540570008 is an apocalyptic number.

20540570008 is a gapful number since it is divisible by the number (28) 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 20540570008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760339200).

20540570008 is an abundant number, since it is smaller than the sum of its proper divisors (28980108392).

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

20540570008 is a wasteful number, since it uses less digits than its factorization.

20540570008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The spelling of 20540570008 in words is "twenty billion, five hundred forty million, five hundred seventy thousand, eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 107 119 133 136 152 214 238 266 323 428 476 532 646 749 856 952 1064 1292 1498 1819 2033 2261 2584 2996 3638 4066 4522 5992 7276 8132 9044 10613 12733 14231 14552 16264 18088 21226 25466 28462 34561 42452 50932 56924 69122 74291 84904 101864 113848 138244 148582 180421 201647 241927 276488 297164 360842 403294 483854 594328 721684 806588 967708 1135591 1262947 1411529 1443368 1613176 1935416 2271182 2525894 2823058 3427999 4542364 5051788 5646116 6855998 7949137 9084728 10103576 11292232 13711996 15898274 19305047 21576229 23995993 27423992 31796548 38610094 43152458 47991986 63593096 77220188 86304916 95983972 135135329 151033603 154440376 172609832 191967944 270270658 302067206 366795893 540541316 604134412 733591786 1081082632 1208268824 1467183572 2567571251 2934367144 5135142502 10270285004 20540570008