Search a number
-
+
20475089688 = 23361157229389
BaseRepresentation
bin10011000100011010…
…010001001100011000
31221211221111022210010
4103010122101030120
5313413110332223
613223420121520
71323251251014
oct230432211430
957757438703
1020475089688
118757721a29
123b750962a0
131c13c4a5b1
14dc3435544
157ec813393
hex4c4691318

20475089688 has 128 divisors (see below), whose sum is σ = 52722072000. Its totient is φ = 6624184320.

The previous prime is 20475089581. The next prime is 20475089699. The reversal of 20475089688 is 88698057402.

It is a congruent number.

It is an unprimeable number.

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, 52634998 + ... + 52635386.

Almost surely, 220475089688 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 20475089688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361036000).

20475089688 is an abundant number, since it is smaller than the sum of its proper divisors (32246982312).

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

20475089688 is a wasteful number, since it uses less digits than its factorization.

20475089688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 20475089688 in words is "twenty billion, four hundred seventy-five million, eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 157 183 229 244 314 366 389 458 471 488 628 687 732 778 916 942 1167 1256 1374 1464 1556 1832 1884 2334 2748 3112 3768 4668 5496 9336 9577 13969 19154 23729 27938 28731 35953 38308 41907 47458 55876 57462 61073 71187 71906 76616 83814 89081 94916 107859 111752 114924 122146 142374 143812 167628 178162 183219 189832 215718 229848 244292 267243 284748 287624 335256 356324 366438 431436 488584 534486 569496 712648 732876 862872 1068972 1465752 2137944 2193133 3725453 4386266 5433941 6579399 7450906 8772532 10867882 11176359 13158798 13985717 14901812 16301823 17545064 21735764 22352718 26317596 27971434 29803624 32603646 41957151 43471528 44705436 52635192 55942868 65207292 83914302 89410872 111885736 130414584 167828604 335657208 853128737 1706257474 2559386211 3412514948 5118772422 6825029896 10237544844 20475089688