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20696541552 = 2433531098293
BaseRepresentation
bin10011010001100111…
…000010100101110000
31222102101012020122000
4103101213002211300
5314341303312202
613301410414000
71331610462201
oct232147024560
958371166560
1020696541552
118860726aa5
124017291300
131c4aaa5abb
1410049dd5a8
15811ea891c
hex4d19c2970

20696541552 has 160 divisors (see below), whose sum is σ = 61090286400. Its totient is φ = 6705773568.

The previous prime is 20696541529. The next prime is 20696541583. The reversal of 20696541552 is 25514569602.

20696541552 is a `hidden beast` number, since 2 + 0 + 6 + 96 + 5 + 4 + 1 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20696541498 and 20696541507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491518 + ... + 2499810.

It is an arithmetic number, because the mean of its divisors is an integer number (381814290).

Almost surely, 220696541552 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 20696541552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30545143200).

20696541552 is an abundant number, since it is smaller than the sum of its proper divisors (40393744848).

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

20696541552 is a wasteful number, since it uses less digits than its factorization.

20696541552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20696541552 in words is "twenty billion, six hundred ninety-six million, five hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 109 144 159 212 216 218 318 327 424 432 436 477 636 654 848 872 954 981 1272 1308 1431 1744 1908 1962 2544 2616 2862 2943 3816 3924 5232 5724 5777 5886 7632 7848 8293 11448 11554 11772 15696 16586 17331 22896 23108 23544 24879 33172 34662 46216 47088 49758 51993 66344 69324 74637 92432 99516 103986 132688 138648 149274 155979 199032 207972 223911 277296 298548 311958 398064 415944 439529 447822 597096 623916 831888 879058 895644 903937 1194192 1247832 1318587 1758116 1791288 1807874 2495664 2637174 2711811 3516232 3582576 3615748 3955761 5274348 5423622 7032464 7231496 7911522 8135433 10548696 10847244 11867283 14462992 15823044 16270866 21097392 21694488 23734566 24406299 31646088 32541732 43388976 47469132 47908661 48812598 63292176 65083464 94938264 95817322 97625196 130166928 143725983 189876528 191634644 195250392 287451966 383269288 390500784 431177949 574903932 766538576 862355898 1149807864 1293533847 1724711796 2299615728 2587067694 3449423592 5174135388 6898847184 10348270776 20696541552