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20587398426 = 2337277353557
BaseRepresentation
bin10011001011000110…
…101100010100011010
31222010202211012102000
4103023012230110122
5314130333222201
613242511221430
71326113666520
oct231306542432
958122735360
1020587398426
118805060171
123ba6817876
131c312b077a
14dd430c310
158075e9d86
hex4cb1ac51a

20587398426 has 128 divisors (see below), whose sum is σ = 52717340160. Its totient is φ = 5833783296.

The previous prime is 20587398409. The next prime is 20587398467. The reversal of 20587398426 is 62489378502.

20587398426 is a `hidden beast` number, since 2 + 0 + 587 + 39 + 8 + 4 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36960940 + ... + 36961496.

It is an arithmetic number, because the mean of its divisors is an integer number (411854220).

Almost surely, 220587398426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20587398426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358670080).

20587398426 is an abundant number, since it is smaller than the sum of its proper divisors (32129941734).

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

20587398426 is a wasteful number, since it uses less digits than its factorization.

20587398426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20587398426 in words is "twenty billion, five hundred eighty-seven million, three hundred ninety-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 277 353 378 554 557 706 831 1059 1114 1662 1671 1939 2118 2471 2493 3177 3342 3878 3899 4942 4986 5013 5817 6354 7413 7479 7798 9531 10026 11634 11697 14826 14958 15039 17451 19062 22239 23394 30078 34902 35091 44478 52353 66717 70182 97781 104706 105273 133434 154289 195562 196621 210546 293343 308578 393242 462867 586686 589863 684467 880029 925734 1080023 1179726 1368934 1376347 1388601 1760058 1769589 2053401 2160046 2640087 2752694 2777202 3240069 3539178 4106802 4129041 4165803 5280174 5308767 6160203 6480138 8258082 8331606 9720207 10617534 12320406 12387123 18480609 19440414 24774246 29160621 36961218 37161369 54464017 58321242 74322738 108928034 163392051 326784102 381248119 490176153 762496238 980352306 1143744357 1470528459 2287488714 2941056918 3431233071 6862466142 10293699213 20587398426