Search a number
-
+
20702955672 = 2333717379147
BaseRepresentation
bin10011010001111111…
…100000100010011000
31222102211021010011000
4103101333200202120
5314344424040142
613302200105000
71332016135230
oct232177404230
958384233130
1020702955672
118864308023
124019465160
131c4c210439
1410057cccc0
1581282414c
hex4d1fe0898

20702955672 has 128 divisors (see below), whose sum is σ = 66104409600. Its totient is φ = 5880864384.

The previous prime is 20702955629. The next prime is 20702955697. The reversal of 20702955672 is 27655920702.

20702955672 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 29 + 556 + 72 = 666.

It is a super-2 number, since 2×207029556722 (a number of 21 digits) contains 22 as substring.

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, 222003 + ... + 301149.

It is an arithmetic number, because the mean of its divisors is an integer number (516440700).

Almost surely, 220702955672 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 20702955672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33052204800).

20702955672 is an abundant number, since it is smaller than the sum of its proper divisors (45401453928).

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

20702955672 is a wasteful number, since it uses less digits than its factorization.

20702955672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79342 (or 79332 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 20702955672 in words is "twenty billion, seven hundred two million, nine hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 173 189 216 252 346 378 504 519 692 756 1038 1211 1384 1512 1557 2076 2422 3114 3633 4152 4671 4844 6228 7266 9342 9688 10899 12456 14532 18684 21798 29064 32697 37368 43596 65394 79147 87192 130788 158294 237441 261576 316588 474882 554029 633176 712323 949764 1108058 1424646 1662087 1899528 2136969 2216116 2849292 3324174 4273938 4432232 4986261 5698584 6648348 8547876 9972522 13296696 13692431 14958783 17095752 19945044 27384862 29917566 39890088 41077293 54769724 59835132 82154586 95847017 109539448 119670264 123231879 164309172 191694034 246463758 287541051 328618344 369695637 383388068 492927516 575082102 739391274 766776136 862623153 985855032 1150164204 1478782548 1725246306 2300328408 2587869459 2957565096 3450492612 5175738918 6900985224 10351477836 20702955672