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2111109984 = 253229252767
BaseRepresentation
bin111110111010100…
…1111101101100000
312110010102111110200
41331311033231200
513310421004414
6545252225200
7103213065414
oct17565175540
95403374420
102111109984
119937371a5
124ab00b200
132784aaa09
1416053cd44
15c550e109
hex7dd4fb60

2111109984 has 72 divisors (see below), whose sum is σ = 6210509760. Its totient is φ = 679435008.

The previous prime is 2111109961. The next prime is 2111110019. The reversal of 2111109984 is 4899011112.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118032 + ... + 134735.

It is an arithmetic number, because the mean of its divisors is an integer number (86257080).

Almost surely, 22111109984 is an apocalyptic number.

2111109984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2111109984 is an abundant number, since it is smaller than the sum of its proper divisors (4099399776).

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

2111109984 is a wasteful number, since it uses less digits than its factorization.

2111109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252812 (or 252801 counting only the distinct ones).

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

The square root of 2111109984 is about 45946.8169082473. The cubic root of 2111109984 is about 1282.8334821262.

The spelling of 2111109984 in words is "two billion, one hundred eleven million, one hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 252767 505534 758301 1011068 1516602 2022136 2274903 3033204 4044272 4549806 6066408 7330243 8088544 9099612 12132816 14660486 18199224 21990729 24265632 29320972 36398448 43981458 58641944 65972187 72796896 87962916 117283888 131944374 175925832 234567776 263888748 351851664 527777496 703703328 1055554992 2111109984