Search a number
-
+
2017902639828 = 22317127166746723
BaseRepresentation
bin11101010111010100010…
…111101011101011010100
321010220120002211011221110
4131113110113223223110
5231030131033433303
64143002304415020
7265534336301205
oct35272427535324
97126502734843
102017902639828
11708873485099
122870bb617470
1311839756688a
146d94a3b55ac
1537754a53703
hex1d5d45ebad4

2017902639828 has 96 divisors (see below), whose sum is σ = 5027783491584. Its totient is φ = 627692502528.

The previous prime is 2017902639773. The next prime is 2017902639829. The reversal of 2017902639828 is 8289362097102.

It is a happy number.

It is a super-2 number, since 2×20179026398282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017902639829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43165275 + ... + 43211997.

It is an arithmetic number, because the mean of its divisors is an integer number (52372744704).

Almost surely, 22017902639828 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 2017902639828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513891745792).

2017902639828 is an abundant number, since it is smaller than the sum of its proper divisors (3009880851756).

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

2017902639828 is a wasteful number, since it uses less digits than its factorization.

2017902639828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48541 (or 48539 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 2017902639828 in words is "two trillion, seventeen billion, nine hundred two million, six hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 381 508 762 1524 1667 2159 3334 4318 5001 6477 6668 8636 10002 12954 20004 25908 28339 46723 56678 85017 93446 113356 140169 170034 186892 211709 280338 340068 423418 560676 635127 794291 846836 1270254 1588582 2382873 2540508 3177164 3599053 4765746 5933821 7198106 9531492 10797159 11867642 14396212 17801463 21594318 23735284 35602926 43188636 71205852 77887241 100874957 155774482 201749914 233661723 302624871 311548964 403499828 467323446 605249742 934646892 1210499484 1324083097 2648166194 3972249291 5296332388 7944498582 9891679607 15888997164 19783359214 29675038821 39566718428 59350077642 118700155284 168158553319 336317106638 504475659957 672634213276 1008951319914 2017902639828