Search a number
-
+
2111849012 = 2271321983283
BaseRepresentation
bin111110111100000…
…0100001000110100
312110011211001020002
41331320010020310
513311113132022
6545320130432
7103222264130
oct17570041064
95404731202
102111849012
119940a1469
124ab306a18
132786a9200
141606923c0
15c5608092
hex7de04234

2111849012 has 144 divisors (see below), whose sum is σ = 4889525760. Its totient is φ = 779186304.

The previous prime is 2111849011. The next prime is 2111849041. The reversal of 2111849012 is 2109481112.

It is a super-2 number, since 2×21118490122 = 8919812498970752288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111849011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7462223 + ... + 7462505.

It is an arithmetic number, because the mean of its divisors is an integer number (33955040).

Almost surely, 22111849012 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 2111849012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444762880).

2111849012 is an abundant number, since it is smaller than the sum of its proper divisors (2777676748).

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

2111849012 is a wasteful number, since it uses less digits than its factorization.

2111849012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 2111849012 is about 45954.8584156235. The cubic root of 2111849012 is about 1282.9831568257.

The spelling of 2111849012 in words is "two billion, one hundred eleven million, eight hundred forty-nine thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 83 91 133 166 169 182 247 266 283 332 338 364 494 532 566 581 676 988 1079 1132 1162 1183 1577 1729 1981 2158 2324 2366 3154 3211 3458 3679 3962 4316 4732 5377 6308 6422 6916 7358 7553 7924 10754 11039 12844 14027 14716 15106 20501 21508 22078 22477 23489 25753 28054 30212 37639 41002 44156 44954 46978 47827 51506 56108 69901 75278 82004 89908 93956 95654 98189 103012 139802 143507 150556 164423 191308 196378 266513 279604 287014 305357 328846 334789 392756 446291 489307 533026 574028 610714 657692 669578 892582 908713 978614 1066052 1221428 1339156 1785164 1817426 1865591 1957228 2137499 3124037 3634852 3731182 3969641 4274998 5801783 6248074 6360991 7462364 7939282 8549996 11603566 12496148 12721982 15878564 23207132 25443964 27787487 40612481 55574974 75423179 81224962 111149948 150846358 162449924 301692716 527962253 1055924506 2111849012