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20256603978 = 23132314713711
BaseRepresentation
bin10010110111011000…
…110011111101001010
31221021201101002201210
4102313120303331022
5312441142311403
613150013153550
71314656202312
oct226730637512
957251332653
1020256603978
118655363426
123b13a8b8b6
131baa8c0200
14da2400442
157d8556b03
hex4b7633f4a

20256603978 has 96 divisors (see below), whose sum is σ = 46251343872. Its totient is φ = 5902977600.

The previous prime is 20256603977. The next prime is 20256604001. The reversal of 20256603978 is 87930665202.

It is not an unprimeable number, because it can be changed into a prime (20256603977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470543 + ... + 1484253.

It is an arithmetic number, because the mean of its divisors is an integer number (481784832).

Almost surely, 220256603978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20256603978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23125671936).

20256603978 is an abundant number, since it is smaller than the sum of its proper divisors (25994739894).

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

20256603978 is a wasteful number, since it uses less digits than its factorization.

20256603978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20256603978 in words is "twenty billion, two hundred fifty-six million, six hundred three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 31 39 47 62 78 93 94 141 169 186 282 338 403 507 611 806 1014 1209 1222 1457 1833 2418 2914 3666 4371 5239 7943 8742 10478 13711 15717 15886 18941 23829 27422 31434 37882 41133 47658 56823 82266 113646 178243 246233 356486 425041 492466 534729 644417 738699 850082 1069458 1275123 1288834 1477398 1933251 2317159 2550246 3866502 4634318 5525533 6951477 8377421 11051066 13902954 16576599 16754842 19976927 25132263 33153198 39953854 50264526 59930781 71831929 108906473 119861562 143663858 215495787 217812946 259700051 326719419 430991574 519400102 653438838 779100153 1558200306 3376100663 6752201326 10128301989 20256603978