Search a number
-
+
20587985112 = 23331277283353
BaseRepresentation
bin10011001011001000…
…111011100011011000
31222010210221000012010
4103023020323203120
5314131011010422
613242531545520
71326121662132
oct231310734330
958123830163
1020587985112
118805420a32
123ba6a5b2a0
131c31457816
14dd4422052
158076b3b0c
hex4cb23b8d8

20587985112 has 128 divisors (see below), whose sum is σ = 53662095360. Its totient is φ = 6575247360.

The previous prime is 20587985111. The next prime is 20587985129. The reversal of 20587985112 is 21158978502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20587985111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58322728 + ... + 58323080.

It is an arithmetic number, because the mean of its divisors is an integer number (419235120).

Almost surely, 220587985112 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 20587985112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831047680).

20587985112 is an abundant number, since it is smaller than the sum of its proper divisors (33074110248).

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

20587985112 is a wasteful number, since it uses less digits than its factorization.

20587985112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 20587985112 in words is "twenty billion, five hundred eighty-seven million, nine hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 277 283 353 372 554 566 706 744 831 849 1059 1108 1132 1412 1662 1698 2118 2216 2264 2824 3324 3396 4236 6648 6792 8472 8587 8773 10943 17174 17546 21886 25761 26319 32829 34348 35092 43772 51522 52638 65658 68696 70184 78391 87544 97781 99899 103044 105276 131316 156782 195562 199798 206088 210552 235173 262632 293343 299697 313564 391124 399596 470346 586686 599394 627128 782248 799192 940692 1173372 1198788 1881384 2346744 2397576 2430121 3031211 3096869 4860242 6062422 6193738 7290363 9093633 9290607 9720484 12124844 12387476 14580726 18187266 18581214 19440968 24249688 24774952 27672023 29161452 36374532 37162428 55344046 58322904 72749064 74324856 83016069 110688092 166032138 221376184 332064276 664128552 857832713 1715665426 2573498139 3431330852 5146996278 6862661704 10293992556 20587985112