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2011119984 = 243219173121
BaseRepresentation
bin111011111011111…
…0100000101110000
312012011021110222100
41313313310011300
513104321314414
6531321140400
7100560144366
oct16767640560
95164243870
102011119984
11942252235
1248162a700
1326086b933
14151151636
15bb85c609
hex77df4170

2011119984 has 60 divisors (see below), whose sum is σ = 5657887872. Its totient is φ = 666854400.

The previous prime is 2011119967. The next prime is 2011120003. The reversal of 2011119984 is 4899111102.

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 11 ways as a sum of consecutive naturals, for example, 9057 + ... + 64064.

Almost surely, 22011119984 is an apocalyptic number.

2011119984 is a gapful number since it is divisible by the number (24) 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 2011119984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828943936).

2011119984 is an abundant number, since it is smaller than the sum of its proper divisors (3646767888).

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

2011119984 is a wasteful number, since it uses less digits than its factorization.

2011119984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73326 (or 73317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 2011119984 is about 44845.5124176322. The cubic root of 2011119984 is about 1262.2517859120.

The spelling of 2011119984 in words is "two billion, eleven million, one hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4584 6876 9168 13752 27504 73121 146242 219363 292484 438726 584968 658089 877452 1169936 1316178 1754904 2632356 3509808 5264712 10529424 13966111 27932222 41898333 55864444 83796666 111728888 125694999 167593332 223457776 251389998 335186664 502779996 670373328 1005559992 2011119984