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20849181012 = 223211471398059
BaseRepresentation
bin10011011010101101…
…010100000101010100
31222211000102010121100
4103122231110011110
5320144342243022
613324502150100
71335443054202
oct233255240524
958730363540
1020849181012
118929901310
12405a422330
131c735ba1ca
14101adb4072
158205aa1ac
hex4dab54154

20849181012 has 144 divisors (see below), whose sum is σ = 59146214400. Its totient is φ = 6138262080.

The previous prime is 20849180983. The next prime is 20849181049. The reversal of 20849181012 is 21018194802.

It is a happy number.

It is a super-2 number, since 2×208491810122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2583039 + ... + 2591097.

It is an arithmetic number, because the mean of its divisors is an integer number (410737600).

Almost surely, 220849181012 is an apocalyptic number.

20849181012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20849181012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573107200).

20849181012 is an abundant number, since it is smaller than the sum of its proper divisors (38297033388).

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

20849181012 is a wasteful number, since it uses less digits than its factorization.

20849181012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 20849181012 in words is "twenty billion, eight hundred forty-nine million, one hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 139 141 188 198 278 282 396 417 423 517 556 564 834 846 1034 1251 1529 1551 1668 1692 2068 2502 3058 3102 4587 4653 5004 6116 6204 6533 8059 9174 9306 13066 13761 16118 18348 18612 19599 24177 26132 27522 32236 39198 48354 55044 58797 71863 72531 78396 88649 96708 117594 143726 145062 177298 215589 235188 265947 287452 290124 354596 378773 431178 531894 646767 757546 797841 862356 1063788 1120201 1136319 1293534 1515092 1595682 2240402 2272638 2587068 3191364 3360603 3408957 4166503 4480804 4545276 6721206 6817914 8333006 10081809 12322211 12499509 13442412 13635828 16666012 20163618 24644422 24999018 36966633 37498527 40327236 49288844 49998036 52649447 73933266 74997054 105298894 110899899 147866532 149994108 157948341 210597788 221799798 315896682 443599596 473845023 579143917 631793364 947690046 1158287834 1737431751 1895380092 2316575668 3474863502 5212295253 6949727004 10424590506 20849181012